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Question

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only, is .


A

55

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B

66

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C

77

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D

88

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Solution

The correct option is C

77


We have to form 7digit numbers, using the digits 1, 2 and 3 only, such that the sum of the digits in a number = 10 .
This can be done by taking 2,2,2,1,1,1,1,or by taking 2,3,1,1,1,1,1.
Number of ways =7!3!4!+7!5!=77.


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