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  • The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is _______.Option: 1

The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits
equal to 12 is _______.

Option: 1

413


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{ x_1+x_2+x_3+x_4+x_5+x_6+x_7=12, x_i \in\{1,2,3,4\} }
No. of solutions \mathrm{={ }^{5+7-1} C_{7-1}-\frac{7 !}{6 !}-\frac{7 !}{5 !}=413}
 

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