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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
  1. 66
  2. 77
  3. 55
  4. 88


Solution

The correct option is B 77
The digits are 1, 1, 1, 1, 1, 2, 3
or 1, 1, 1, 1, 2, 2, 2
Hence number of seven digits numbers formed
=7!5!+7!4!3!=77.

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