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Question

Question: The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 m...

The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any questions, is -

A

21C7

B

10C7

C

22C7

D

None of these

Answer

21C7

Explanation

Solution

Distribute 2marks each to 8 Question, this can be done in 1 way now distribute remaining (30 –16) = 14 marks 8 questions any question will get any number of mark. This can be done in 16+8–1C8–1 = 21C7 ways.