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In the expansion of (a^2/5 + b^1/3) a ≠ b, the number of terms in which the power of a and b are integers are ______

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In the expansion of (a2/5 + b1/3) a ≠ b, the number of terms in which the power of a and b are integers are ______

(a) 1 

(b) 2 

(c) 3 

(d) 4

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Correct option: (c) 3

Explanation:

∴ r will be multiple of 5 and 3 both.

∴ r will be multiple of 15

∴ r = 15 K ; 0 ≤ r ≤ 35

∴ r = 0, 15, 30

∴ 1st, 16th, and 31th has integer power of a and b

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