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  • 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 :   Option: 1

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 :
 
Option: 1 77
Option: 2 82
Option: 3 35  
Option: 4 42

Answers (1)

best_answer

First possiblity is 1, 1, 1, 1, 1, 2, 3

\text { required number }=\frac{7 !}{5 !}=7 \times 6=42

Second possiblity is 1, 1, 1, 1, 2, 2, 2

\text { required number }=\frac{7 !}{4 ! 3 !}=\frac{7 \times 6 \times 5}{6}=35

Total = 42 + 35 = 77

Posted by

himanshu.meshram

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