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Question

Question: The no. of non-negative integral solutions of x + y + z + w ≤ 40 is...

The no. of non-negative integral solutions of x + y + z + w ≤ 40 is

A

44C344C_{3}

B

40C340C_{3}

C

40C440C_{4}

D

44C4

Answer

44C4

Explanation

Solution

Let λ be a variable which is equal to 40 - (x + y + z + w).

x + y + z + w + λ = 40 = 44C4.