Question

a b c
abc = 30
The number of (a, b, c) , where a b c are positive
integens
such that abc = 30, is​

Answer 1

Answer:

We have : 30=2×3×5. So, 2 can be assigned to either a or b or c i.e. 2 can be assigned in 3 ways. Similarly, each of 3 and 5 can be assigned in 3 ways. Thus, the number of solutions is 3×3×3=27.