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Question
The number of natural numbers which lie between 108 and 109 which have products of their digits as 6 is___.
Answer:
:
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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