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  • The number of 4 digit natural numbers such that the product of their digits is 12 is  Option: 1 24<div class='qna-option

The number of 4 digit natural numbers such that the product of their digits is 12 is

 

Option: 1

24


Option: 2

36


Option: 3

42

 


Option: 4

48


Answers (1)

best_answer

12=2^2 \cdot 3

Then the four digits can be 

1,1,6,2 \rightarrow \text { no. of numbers }=\frac{4 !}{2 !}=12

1,1,3,4 \rightarrow \text { no. of numbers }=\frac{4 !}{2 !}=12

2,2,3,1 \rightarrow \text { no. of numbers }=\frac{4 !}{2 !}=12

Hence, total number are 36

Posted by

Suraj Bhandari

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