f(x) denotes the sum of the digits of the number x and g(x) denotes the product of the digits of the number x. How many three digit numbers are there for which f(x)=g(x), where x is a three digit number.

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Solution

there is only one possibe case
when sum of digits=6 as well as product
there are six numbers
123
231
132
213
312
321

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