Home Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients The number of integral terms in the expansio…
Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients Single Correct MCQ
Published on: August 14, 2026

The number of integral terms in the expansion of is

A
32
B
33
C
34
D
35

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Text Solution

Verified by Experts
The correct answer is:
B

Terms would be integral if and both are positive integer.

As 0 ≤ ≤ r ≤ ≤ 256,

For above values of r , is also an integer.

∴ ∴ Total number of values of r = 33.

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