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Question

Ten persons, amongst whom are A, B and C to speak at a function. The number of ways in which it can be done if A wants to speak before B and B wants to speak before C is



A

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B

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C

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D

None of these

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Solution

The correct option is A


For A, B, C to speak in order of alphabets, 3 places out of 10 may be chosen first in 10C3 ways.

The remaining 7 persons can speak in 7! ways.

Hence, the number of ways in which all the 10 person can speak is 10C3.7! = 10!3! = 10!6


Mathematics

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