The time is now - Spring classes are filling up!

Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3 M G
BBookmark  VNew Topic kLocked
G
Topic
First Poster
Last Poster
Problem 2
evt917   47
N 8 minutes ago by MC_ADe
Source: 2024 AMC 12B #2 / AMC 10B #2
What is $10! - 7! \cdot 6!$?

$
\textbf{(A) }-120 \qquad
\textbf{(B) }0 \qquad
\textbf{(C) }120 \qquad
\textbf{(D) }600 \qquad
\textbf{(E) }720 \qquad
$
47 replies
evt917
Nov 13, 2024
MC_ADe
8 minutes ago
generic whiteboard problem
ostriches88   19
N 33 minutes ago by happypi31415
Source: 2024 AMC10B p16
Jerry likes to play with numbers. One day, he wrote all the integers from $1$ to $2024$ on the whiteboard. Then he repeatedly chose four numbers on the whiteboard, erased them, and replaced them with either their sum or their product. (For example, Jerry's first step might have been to erase $1, 2, 3$, and $5$, and then write either $11$, their sum, or $30$, their product, on the whiteboard.) After repeatedly performing this operation, Jerry noticed that all the remaining numbers on the board were odd. What is the maximum possible number of integers on the board at that time?

$
\textbf{(A) }1010 \qquad
\textbf{(B) }1011 \qquad
\textbf{(C) }1012 \qquad
\textbf{(D) }1013 \qquad
\textbf{(E) }1014 \qquad
$
19 replies
ostriches88
Nov 13, 2024
happypi31415
33 minutes ago
No more topics!
10a vs 10b
golden_star_123   125
N Today at 5:17 AM by wuwang2002
Post the difference between your 10a and 10b score!
125 replies
golden_star_123
Nov 13, 2024
wuwang2002
Today at 5:17 AM
10a vs 10b
G H J
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
golden_star_123
130 posts
#1 • 1 Y
Y by ranu540
Post the difference between your 10a and 10b score!
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
megarnie
5307 posts
#2
Y by
34.5 but it was 12a and 10b
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
pingpongmerrily
2424 posts
#3
Y by
golden_star_123 wrote:
Post the difference between your 10a and 10b score!

10b greater by 13.5
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
andrewcheng
482 posts
#4
Y by
10b by 16.5
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Existing_Human1
120 posts
#5
Y by
10b - 16.6

10 b = 103.5
10 a = 87

Shows how there isn't really a big difference between 20 points
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
cdm
234 posts
#6
Y by
133.5/141, so 7.5
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Elephant200
1451 posts
#7
Y by
My scores were very similar - 112.5 on A and 109.5 on B
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Squidget
372 posts
#8
Y by
10b improved by 10.5
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
pingpongmerrily
2424 posts
#9
Y by
Existing_Human1 wrote:
10b - 16.6

10 b = 103.5
10 a = 87

Shows how there isn't really a big difference between 20 points

or it shows that 10b was insanely easy
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
pieMax2713
4131 posts
#10
Y by
12a/12b 109.5/121.5, 12 difference
couldve been 118.5/132 though
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
TiguhBabeHwo
208 posts
#11
Y by
126-126 $ $
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ostriches88
1441 posts
#12
Y by
10b higher by 25.5 :blush:
This post has been edited 1 time. Last edited by ostriches88, Nov 13, 2024, 6:33 PM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Andrew2019
2218 posts
#13
Y by
112.5 - 78 = 34.5
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
meduh6849
313 posts
#14
Y by
0
10a and 12b
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
mathprodigy2011
58 posts
#15
Y by
10a and 12b

difference(4.5)

did better on 12b lol(I sold 10a)
This post has been edited 1 time. Last edited by mathprodigy2011, Nov 13, 2024, 6:40 PM
Reason: .
Z K Y
G
H
=
a