How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?

Question

Accepted Answer

Let the number be 'abc'. Then, 2&lt;a	imes\ b	imes\ c&lt;7 . The product can be 3,4,5,6. We can obtain each of these as products with the combination 1,1, x where x = 3,4,5,6. Each number can be arranged in 3 ways, and we have 4 such numbers: hence, a total of 12 numbers fulfilling the cri