Question 97

The number of non-negative integral solutions to the equation x + y + z = 14 is:

Name: The number of non-negative integral solutions to the equation x + y + z = 14 is:
Uploaded: 2026-04-27T17:07:21.316420+05:30
Duration: 2 min 6 s
Description: The number of non-negative integral solutions to the equation x + y + z = 14 is:

Solution

The direct method to solve the questions for non-negative integral solution is finding the value of

$$n+r-1_{C_{r-1}}$$

Here, n= 14 r=3

Substituting the values, we get $$\ 16_{C_2}$$which is 120.

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