Difference between revisions of "2016 AMC 10A Problems/Problem 1"
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We can use subtraction of fractions to get <cmath>\frac{11!-10!}{9!} = \frac{11!}{9!} - \frac{10!}{9!}</cmath> which will get us <math>110 -10 = \boxed{\textbf{(B)}\;100.}</math> | We can use subtraction of fractions to get <cmath>\frac{11!-10!}{9!} = \frac{11!}{9!} - \frac{10!}{9!}</cmath> which will get us <math>110 -10 = \boxed{\textbf{(B)}\;100.}</math> | ||
==Solution 3== | ==Solution 3== | ||
+ | |||
+ | Factoring out <math>9!</math> | ||
==See Also== | ==See Also== |
Revision as of 14:14, 5 February 2016
Problem
What is the value of ?
Solution 1
Factoring out the from the numerator and cancelling out the s in the numerator and denominator, we have:
Solution 2
We can use subtraction of fractions to get which will get us
Solution 3
Factoring out
See Also
2016 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
2016 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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