BITSAT2012MathematicsPermutation and CombinationActual
The number of positive integral solution of abc =30 is
Options
- A30
- B27
- C8
- DNone of these
Correct answer
B. 27
Step-by-step solution
We have : 30=2 3 5 . So, 2 can be assigned to either a or b or ci.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