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Combination of n Different Things Taken One or More at a Time

In the interm...

Question

In the intermediate examination a candidate has to pass in each of the 6 subjects the number of ways that he can fail is

A

60

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B

61

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C

62

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D

63

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Solution

The correct option is D 63
a student can fail in one subject or two subjects or three subjects or four subjects or five subjects or six subjcets
therefore the total number of ways = $2^{6} - 1$

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Combination of n Different Things Taken One or More at a Time

Standard XI Mathematics

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