For the equation x + y + z + w = 19, the number of positive…

Maths Permutations & Combination Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

For the equation x + y + z + w = 19, the number of positive integral solutions is equal to

The no. of ways in which 15 identical things can be distributed among 4 persons

The no. of ways in which 19 identical things can be distributed among 4 persons

Coefficient of x 19 in (x 0 + x 1 + x 2 +....+ x 19 ) 4

Coefficient of x 19 in (x + x 2 + x 3 +....+ x 19 ) 4

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, d)

x + y + z + w = 19, x, y, z, w ≥ 1

or x + y + z + w = 15 x, y, z, w ≥ 0

for both things no. of ways will be same

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