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Question
Find the number of natural numbers which lie between 108 and 109 which have products of their digits as 6?
Find the number of natural numbers which lie between 108 and 109 which have products of their digits as 6?
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Solution
The correct option is C 81
OPTION C
108<n<109
n is a 9 digit number
Product of 6 is possible in the following cases
Exactly one digit is 6 and the remaining digits are 1
Number of possible numbers= 9
One digit is 2 and the other is 3, remaining are 1 = 9P2 = 72
Total possible numbers =72+9 = 81
OPTION C
108<n<109
n is a 9 digit number
Product of 6 is possible in the following cases
Exactly one digit is 6 and the remaining digits are 1
Number of possible numbers= 9
One digit is 2 and the other is 3, remaining are 1 = 9P2 = 72
Total possible numbers =72+9 = 81
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