7) Five bands and two comics are performing for a student talent show. How many different...

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Answer 1

Answer #1

Case 1 . Since , order matters , we will use Permutations.

There are 5 bands and 2 comics .

Out of these 7 , all need to be arranged.

Thus, number of ways = ⁷P₇ or 7! = 5040 ways.

Case 2 : Comics perform in between bands

= Total ways - Comics performed together in the starting or in the end.

Now these comics can be arranged among themselves in 2! ways . And the rest band programme can also be arranged in 5! ways

Thus, Number of ways = 5040 - 2!*(5!) - 5!*(2!)

= 5040 - 240 - 240

= 4560 ways

Please like the answer,Thanks!

Answer 2

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