Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a, b, c are odd positive integers, then number of integral solutions of a+b+c = 13 is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let a = 2x + 1, b = 2y+1, c = 2z + 1 (where x, y, z, are non negative integral solution)
∴ ∴ (2x+1) + (2y+1) + (2z+1) = 13
⇒ ⇒ x+y+z = 5
Required number of solutions
= Coefficient of a 5 in (a 0 + a 1 + a 2 + ...) 3
= Coefficient of a 5 in 
= Coefficient of a 5 in (1 – a) -3
= 
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