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Question: The no. of negative integral solutions of equation x + y + z + w + 20 = 0 is:...

The no. of negative integral solutions of equation x + y + z + w + 20 = 0 is:

A

23C323C_{3}

B

40C340C_{3}

C

19C3

D

24C324C_{3}

Answer

19C3

Explanation

Solution

Let x = -a, y = -b, z = -c, w = -d.

∴ - a - b - c - d + 20 = 0.

a + b + c + d = 20.

No. of solutions = 19C3.