Question

In how many ways can a group of 4 people be selected for a party planning committee from a class of 25?

Answer 1

4 slots
25 for 1st slot
24 for 2nd because 1 went to first slot
23 for 3rd
22 for 4th

so 25*24*23*22=303600 ways

Answer 2

Answer: 12650

Explanation:

We know that the number of combination of r objects choosing from n objects is given by :-

`^nC_r=(n!)/(r!(n-r)!)`

Given: The total number of persons in theclass = 25

The number of people in a group = 4

Then , the number of ways can a group of 4 people be selected for a party planning committee from a class of 25 is given by :-

`^(25)C_4=(25!)/(4!(25-4)!)\\\\\\=(25*24*23*22*21!)/((24)21!)\\\\=12650`

Therefore, the number of ways can a group of 4 people be selected for a party planning committee from a class of 25 is 12650.