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

Step-by-step explanation:

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

$^nC_r=\dfrac{n!}{r!(n-r)!}$

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 :-

$^{25}C_4=\dfrac{25!}{4!(25-4)!}\\\\\\=\dfrac{25\times24\times23\times22\times21!}{(24)21!}\\\\=12650$

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.