Question

Compute the following: 325 C1

Answer 1

If this is a combination problem, 325 choose 1, anytime you have a choose 1, the answer it the n, so 325 is the answer.

Answer 2

Answer:

${325 \choose 1}=325$

Step-by-step explanation:

  Given :   ${325 \choose 1}$

We have to find the value of given combination.

Consider the given expression  ${325 \choose 1}$

We know

Given a number of subset of r elements out of  n elements is given by,

${n \choose r}=\frac{n!}{r!\left(n-r\right)!}$

Comparing , we have n = 325 and r = 1

Substitute, we get,

${325 \choose 1}=\frac{325!}{1!\left(325-1\right)!}$

On simplifying, we get,

${325 \choose 1}=\frac{325!}{1!\left(324\right)!}$

$325!=325 \times 324!$ substitute, we get,

${325 \choose 1}=\frac{325 \times 324!}{1!\left(324\right)!}$

On simplifying, we get,

${325 \choose 1}=\frac{325}{1!}$

Thus, ${325 \choose 1}=325$