WBJEE · Maths · Permutation Combination
The number of solutions of the equation \(x+y+z=10\) where \(x, y\) and \(z\) are positive integers
- A 36
- B 55
- C 72
- D 45
Answer & Solution
Correct Answer
(A) 36
Step-by-step Solution
Detailed explanation
Given equation, is \(x+y+z=10\) where, \(x, y\) and \(z\) are positive integers. \(\therefore\) Required number of solutions \(={ }^{(10-1)} \mathrm{C}_{(3-1)}\) \[ ={ }^{9} C_{2}=\frac{9 \times 8}{2}=36 \]
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