TS EAMCET · Maths · Permutation Combination
Let \(\mathbb{N}\) be the set of positive integers. The number of distinct triplets \((x, y, z)\) satisfying \(x, y, z \in \mathbb{N}, x < y < z\) and \(x+y+z=12\) is
- A 5
- B 7
- C 6
- D 8
Answer & Solution
Correct Answer
(B) 7
Step-by-step Solution
Detailed explanation
Given \(\mathbf{N}\) is the set of positive integers with triplets \((x, y, z)\). The combination of \(x, y, z\) should satisfy \(x < y < z\) and \(x+y+z=12\). Required combinations are shown below.…
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