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Let N be the set of positive integers. The number of distinct triplets (x, y, z)satisfying x, y, z $\in$ N, x < y < z and x + y + z = 12 is

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answer is B.

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Detailed Solution

x + y + z = 12, x < y < z

$(x,y,z) \overset{}{\to} (1, 2, 9), (2, 3, 7), (3, 4, 5), (1, 5, 6)$

$(2, 4, 6), (1, 3, 8), (1, 4, 7)$

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