Correct Answer - Option 3 : 36
Given:
a + b + c = 10
a, b, c are positive intergers
Calculation:
The possible combinations are (5, 3, 2) (2, 4, 4), (3, 3, 4), (2, 2, 6), (7, 2, 1), (8, 1, 1)
Product of the combinations
⇒ 5 × 3 × 2 = 30
⇒ 2 × 4 × 4 = 32
⇒ 4 × 3 × 3 = 36
⇒ 2 × 2 × 6 = 24
⇒ 7 × 2 × 1 = 14
⇒ 8 × 1 × 1 = 8
36 is the maximum product among the combinations.
∴ 36 is the maximum product of (a × b × c)
