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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
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k a AMC 10/12 A&B Coming up Soon!
jlacosta   0
Nov 1, 2024
There is still time to train for the November 6th and November 12th AMC 10A/12A and AMC 10B/12B, respectively! Enroll in our weekend seminars to be held on November 2nd and 3rd (listed below) and you will learn problem strategies, test taking techniques, and be able to take a full practice test! Note that the “B” seminars will have different material from the “A” seminars which were held in October.

[list][*]Special AMC 10 Problem Seminar B
[*]Special AMC 12 Problem Seminar B[/list]
For those who want to take a free practice test before the AMC 10/12 competitions, you can simulate a real competition experience by following this link. As you assess your performance on these exams, be sure to gather data!

[list][*]Which problems did you get right?
[list][*]Was the topic a strength (e.g. number theory, geometry, counting/probability, algebra)?
[*]How did you prepare?
[*]What was your confidence level?[/list]
[*]Which problems did you get wrong?
[list][list][*]Did you make an arithmetic error?
[*]Did you misread the problem?
[*]Did you have the foundational knowledge for the problem?
[*]Which topics require more fluency through practice (e.g. number theory, geometry, counting/probability, algebra)?
[*]Did you run out of time?[/list][/list]
Once you have analyzed the results with the above questions, you will have a plan of attack for future contests! BEST OF LUCK to all competitors at this year’s AMC 10 and AMC 12!

Did you know that the day after both the AMC 10A/12A and AMC 10B/12B you can join a free math jam where our AoPS team will go over the most interesting problems? Find the schedule below under “Mark your calendars”.

Mark your calendars for these upcoming free math jams!
[list][*]November 20th: Amherst College Info Session, 7:30 pm ET: Matt McGann, Dean of Admission and Financial Aid at Amherst College, and Nathan Pflueger, math professor at Amherst College, will host an info session exploring both Amherst College specifically and liberal arts colleges generally. Topics include opportunities in math, the admission process, and financial aid for both US and international students.
[*]November 7th: 2024 AMC 10/12 A Discussion, Thursday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 A, administered November 6. We will discuss some of the most interesting problems from each test!
[*]November 13th: 2024 AMC 10/12 B Discussion, Wednesday, 7:30 pm ET:
[*]AoPS instructors will discuss problems from the AMC 10/12 B, administered November 12. We will discuss some of the most interesting problems from each test![/list]
AoPS Spring classes are open for enrollment. Get a jump on the New Year and enroll in our math, contest prep, coding, and science classes today! Need help finding the right plan for your goals? Check out our recommendations page!

Don’t forget: Highlight your AoPS Education on LinkedIn!
Many of you are beginning to build your education and achievements history on LinkedIn. Now, you can showcase your courses from Art of Problem Solving (AoPS) directly on your LinkedIn profile!

Whether you've taken our classes at AoPS Online or AoPS Academies or reached the top echelons of our competition training with our Worldwide Online Olympiad Training (WOOT) program, you can now add your AoPS experience to the education section on your LinkedIn profile.

Don't miss this opportunity to stand out and connect with fellow problem-solvers in the professional world and be sure to follow us at: https://www.linkedin.com/school/art-of-problem-solving/mycompany/ Check out our job postings, too, if you are interested in either full-time, part-time, or internship opportunities!

Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

Introductory: Grades 5-10

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Sat & Sun, Nov 16 - Nov 17 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)

Intermediate: Grades 8-12

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Thursday, Nov 7 - Mar 27
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Intermediate Number Theory
Thursday, Feb 20 - May 8
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Precalculus
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Olympiad Geometry
Wednesday, Mar 5 - May 21

Calculus
Tuesday, Dec 10 - Jun 10
Friday, Feb 28 - Aug 22
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Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Mon, Wed & Fri, Dec 2 - Jan 10 (meets three times each week!)
Tuesday, Feb 4 - Apr 22
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Wednesday, Apr 16 - Jul 2

MATHCOUNTS/AMC 8 Advanced
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Tue, Thurs & Sun, Dec 10 - Jan 19 (meets three times each week!)
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Friday, Apr 11 - Jun 27

Special AMC 8 Problem Seminar A
Sat & Sun, Jan 11 - Jan 12 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)

Special AMC 8 Problem Seminar B
Sat & Sun, Jan 18 - Jan 19 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)

AMC 10 Problem Series
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AMC 10 Final Fives
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Special AMC 10 Problem Seminar B
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AMC 12 Problem Series
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Sunday, Feb 9 - Mar 2 (3:30 - 5:00 pm ET/12:30 - 2:00 pm PT)

Special AMC 12 Problem Seminar B
Sat & Sun, Nov 2 - Nov 3 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)

AIME Problem Series A
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Special AIME Problem Seminar A
Sat & Sun, Jan 25 - Jan 26 (4:00 - 7:00 pm ET/1:00 - 4:00 pm PT)

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F=ma Problem Series
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Sat & Sun, Dec 14 - Dec 15 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
0 replies
jlacosta
Nov 1, 2024
0 replies
9 How do AMC-10 scores translate to MATHCOUNTS States
pingpongmerrily   49
N a few seconds ago by bwu_2022
How do AMC scores translate to MathCounts States, given that the problems are pretty similar?

Use your own individual experience/guesses to determine what you think..

NOTE: THIS IS FOR STATES!!!
49 replies
pingpongmerrily
Nov 14, 2024
bwu_2022
a few seconds ago
AMC Music Video - Orz to the Legends (AMC 10/12 Version)
megahertz13   22
N 15 minutes ago by ijco
Orz to the Legends (Music, AMC version - MegaMath Channel original)

Get pumped up for the AMCs!

[youtube]https://www.youtube.com/watch?v=KmiNI00uo-s&ab_channel=MegaMathChannel[/youtube]

Join our discord! https://discord.gg/hh7vntTb2E

Math Problem (AMC 10/12): Let $M$ be the smallest positive integer satisfying the property that $M^6$ is a multiple of both $2024^2$ and $2025^3$. How many positive divisors does $M$ have?

James has a geometric series with first term $1$ and common ratio $0<r<1$. Andy multiplies the first term by $\frac{7}{5}$, and squares the common ratio. If the sum of the first series equals the sum of the second series, the common sum can be expressed as $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.
22 replies
+1 w
megahertz13
Oct 13, 2024
ijco
15 minutes ago
9 AIME Qualification AMC 12A
studymoremath   1
N 16 minutes ago by studymoremath
Now with the AMC's over, I think everyone has more of an idea of cutoff ranges and difficulty levels this year. Are my chances high enough that I should start studying for AIME?
1 reply
studymoremath
Yesterday at 6:43 PM
studymoremath
16 minutes ago
Past PUMaC results
mathkiddus   1
N an hour ago by lpieleanu
Does anybody know where we can find old PUMaC results/placing cutoffs
1 reply
mathkiddus
2 hours ago
lpieleanu
an hour ago
No more topics!
Problem 16
evt917   9
N Nov 13, 2024 by mathprodigy2011
Source: AMC 12B 2024 problem 16
A group of $16$ people will be partitioned into $4$ indistinguishable $4$-person committees. Each committee will have one chairperson and one secretary. The number of different ways to make these assignments can be written as $3^{r}M$, where $r$ and $M$ are positive integers and $M$ is not divisible by $3$. What is $r$?


$
\textbf{(A) }5 \qquad
\textbf{(B) }6 \qquad
\textbf{(C) }7 \qquad
\textbf{(D) }8 \qquad
\textbf{(E) }9 \qquad
$
9 replies
evt917
Nov 13, 2024
mathprodigy2011
Nov 13, 2024
Problem 16
G H J
Source: AMC 12B 2024 problem 16
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evt917
1514 posts
#1
Y by
A group of $16$ people will be partitioned into $4$ indistinguishable $4$-person committees. Each committee will have one chairperson and one secretary. The number of different ways to make these assignments can be written as $3^{r}M$, where $r$ and $M$ are positive integers and $M$ is not divisible by $3$. What is $r$?


$
\textbf{(A) }5 \qquad
\textbf{(B) }6 \qquad
\textbf{(C) }7 \qquad
\textbf{(D) }8 \qquad
\textbf{(E) }9 \qquad
$
Z K Y
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meduh6849
313 posts
#2
Y by
5 by v_3(16!) - v_3(4!)
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vsamc
3769 posts
#3
Y by
(16 c 4,4,4,4) / 4! * 12^4 now just spam legendre
This post has been edited 1 time. Last edited by vsamc, Nov 13, 2024, 5:45 PM
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pingpongmerrily
2424 posts
#4
Y by
yeah this is also 22 on 10b just count the factors of 3 with all the binomials
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YaoAOPS
1317 posts
#5
Y by
Duplicate of https://artofproblemsolving.com/community/c5h3442646_generic_combo_22
This post has been edited 1 time. Last edited by YaoAOPS, Nov 13, 2024, 6:06 PM
Z K Y
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alexanderhamilton124
242 posts
#6
Y by
A confirmed:
\[
\binom{16}{4} \cdot 4 \cdot 3 \cdot \binom{12}{4} \cdot 4 \cdot 3 \cdot \binom{4}{4} \cdot 4 \cdot 3
\]where \( v_3(\binom{16}{4}) = 0 \), \( v_3(\binom{4}{4}) = 0 \), \( v_3(\binom{12}{4}) = 2 \), and therefore the total \( v_3 \) is \( 5 \).

(also @above you sent the link of this thread)
This post has been edited 1 time. Last edited by alexanderhamilton124, Nov 13, 2024, 5:52 PM
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yambe2002
1642 posts
#7
Y by
YaoAOPS wrote:
Duplicate of https://artofproblemsolving.com/community/c5h3442655.

its the same thread


i forgot how to count when doing this put 6 lol
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YaoAOPS
1317 posts
#8
Y by
I meant https://artofproblemsolving.com/community/c5h3442646_generic_combo_22.
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mathboy282
2966 posts
#9
Y by
16 choose 4,4,4,4, divide over 4! to acount for indistinguishable committees, chairperson and secretary -> (4*3)^5

in numerator: floor(16/3)+floor(16/9)=5+1=6, + 4 factors of 3 from 4*3 ^ 4
ind emoniator: 5 factors of 3, 1 each from 4!

6+4-5=5
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mathprodigy2011
58 posts
#10
Y by
I almost sillied this but I corrected
Z K Y
N Quick Reply
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