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how many ways can 3 identical pen sets and 5 identical watches be given to 8 graduates if each received one item?

Sagot :

3 x 5 x 8 =15 x 8 = 120
ashishdwivedilVT

The number of ways 3 identical pens and 5 identical watches can be given to 8 graduates is 56.

It is given that

No of identical pen sets = 3

No of identical watches = 5

No of graduates = 8

What is permutation?

A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

If both the articles were not identical, no of ways those 8 items could be given to graduates = 8!

But, there are 3 identical pen sets and 5 identical watches.

So, no of ways 3 identical pens and 5 identical watches can be given to 8 graduates =  [tex]\frac{8!}{5!3!}[/tex] = [tex]56[/tex]

Hence, no of the ways 3 identical pens and 5 identical watches can be given to 8 graduates is 56.

To get more about permutation visit:

https://brainly.com/question/1216161

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