Question 1

Calculate $C(10,7)$.

Accepted Answer

$120$

Answer

$720$

Answer

$70$

Answer

$604800$

Question 2

Calculate $P(12,3)$.

Accepted Answer

$1320$

Answer

$79,833,600$

Answer

$220$

Answer

$36$

Question 3

Calculate $\frac{17!}{12!}$.

Accepted Answer

$742560$

Answer

$1.42$

Answer

$204$

Answer

$120$

Question 4

Which of the following is equal to $C(20, 17)$?

Accepted Answer

$C(20,3)$

Answer

$\frac{20!}{17!}$

Answer

$C(17,20)$

Answer

$P(20,17)$

Question 5

Which of the following is equal to $P(7, 3)$?

Accepted Answer

$7 \cdot 6 \cdot 5$

Answer

$P(7,4)$

Answer

$7!$

Answer

$(7-3)!$

Question 6

Calculate $C(n,n)$.

Accepted Answer

$1$

Answer

$n-1$

Answer

$n$

Answer

$n+1$

Question 7

Calculate $C(n,1)$.

Accepted Answer

$n$

Answer

$1$

Answer

$n-1$

Answer

$n+1$

Question 8

Calculate $C(n,0)$.

Accepted Answer

$1$

Answer

$n-1$

Answer

$n$

Answer

$n+1$

Question 9

Calculate $P(n,0)$

Accepted Answer

$1$

Answer

$(n-0)!$

Answer

$n$

Answer

$0$

Question 10

Calculate $P(n,1)$

Accepted Answer

$n$

Answer

$n-1$

Answer

$n+1$

Answer

$1$

Question 11

Calculate $P(n,n)$.

Accepted Answer

$n!$

Answer

$1$

Answer

$2n$

Answer

$n^{2}$

Question 12

Calculate $\frac{n!}{n-1!}$

Accepted Answer

$n$

Answer

$n(n-1)$

Answer

$n(n-1)(n-2)$

Answer

$1$

Question 13

Calculate $\frac{0!}{0! \cdot 2}$

Accepted Answer

$\frac{1}{2}$

Answer

$1$

Answer

$2$

Answer

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Question 14

Given that $k$ is an integer and $\frac{10!}{2^{k}}$ is an integer, what is the maximum possible value of $k$?

Accepted Answer

$8$

Answer

$9$

Answer

$6$

Answer

$7$

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