Answer :

There are 303600 ways to choose 4 members of the club to serve on an executive committee.

What is permutation and combination ?

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

Calculation

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 - n P r = n! / (n-r)!

n = 25

r = 4

using calculator

25 P 4 = 303600
Hence there are 303600 ways to choose 4 members of the club to serve on an executive committee.

learn more about permutation and combination here :
brainly.com/question/28720645

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