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

`{325 \choose 1}=325`

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}=(n!)/(r!\left(n-r\right)!)`

Comparing , we have n = 325 and r = 1

Substitute, we get,

`{325 \choose 1}=(325!)/(1!\left(325-1\right)!)`

On simplifying, we get,

`{325 \choose 1}=(325!)/(1!\left(324\right)!)`

`325!=325 * 324!` substitute, we get,

`{325 \choose 1}=(325 * 324!)/(1!\left(324\right)!)`

On simplifying, we get,

`{325 \choose 1}=(325)/(1!)`

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