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
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.
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