Question

1. From among the 45 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done

Answer 1

Answer:

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Answer 2

Concept

The formula to calculate the number of ways through which r objects are selected from objects are nCr, where C represents the combination. The combination is defined as

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

Given

There are 45 students and one leader, one class representative has to be chosen.

Find

We have to calculate the number of ways by which one leader and one class representative can be chosen.

Solution

Since there are 45 students, after choosing one leader or one class representative there will be 44 students. Therefore the first one can be chosen by 45C1 way and the other one can be chosen by 44C1 ways.

Therefore total number of ways are

45C1 + 44C1

Since we know that nC1 = n

Therefore,

Total number of ways = 45C1 + 44C1

= 45 + 44

= 89

Hence by 89 ways these two people can be selected from the set of 45 people.

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