4. Corrupt professor Z has a class of 50 students. He needs to give exactly 10 A's. However five students already have a special deal (they are professor Z's nephews and nieces) and will get A's for sure. How many ways can the 10 A's be distributed?

Question

Mathematics

Nathaniel Owen

22 June, 23:22

4. Corrupt professor Z has a class of 50 students. He needs to give exactly 10 A's. However five students already have a special deal (they are professor Z's nephews and nieces) and will get A's for sure. How many ways can the 10 A's be distributed?

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Answers (1)

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Douglas Lin · Answer 1

Step-by-step explanation:

Given that the professor Z has a class of 50 students is corrupt. However five students already have a special deal (they are professor Z's nephews and nieces) and will get A's for sure.

Thus out of 10 students 5A's are reserved

Remaining 5 can be distributed in

I 5 to any one of the 45, II to any one of the 44 ...

i. e. 45P5 ways

no of ways = 45P5 = = 146611080