Arithmetic Aptitude :: Permutation and Combination

1.

In how many possible ways can write 3240 as a product of 3 positive integers a,b and c.

Answer: Option A

Explanation :

3240 = 23*34*51 = a*b*c

We have to distribute three 2's to a, b, c in 3+3−1C3−1 = 5C2 = 10 ways

We have to distribute four 3's to a, b, c in 3+4−1C3−1 = 6C2 = 15 ways

We have to distribute one 5 to a, b, c in 3 ways.

Total ways = 10*15*3 = 450 ways

Asked In :: TCS

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