Question

A club has 25 members. How many ways are there to choose four members of the club to serve on the executive committee? How many ways are there to choose a president, vice-president, secretary, and treasurer of the club

Answer 1

Answer:

303600 ways

Step-by-step explanation:

No. of members = 25

We are supposed to find the no. of ways to choose a president, vice-president, secretary, and treasurer of the club

No. of posts = 4

The order matters here since each member will get different posts .

So, we will use permutation over here

Formula: $^nP_r=\frac{n!}{(n-r)!}$

n = 25

r = 4

$^{25}P_4=\frac{25!}{(25-4)!}$

$^{25}P_4=303600$

Hence there are 303600 ways to choose a president, vice-president, secretary, and treasurer of the club