In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.

Step-by-step explanation:

Combination has to selection. When selecting 4 people out of a pool of  15 people, this can be done as thus according to combination formuka:

15C4 = 15!/(15-4)!4!

15C4 = 15!/11!4!

15C4 = 15*14*13*12*11!/11!*4*3*2

15C4 =  15*14*13*12/24

15C4 = 32760/24

15C4 = 1365 different ways.

Hence this can be done in 1365 different ways

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b