(B) We are looking for the number of triplets $(x, y, z)$ such that $x, y, z \in N$,$x x+x+

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(B) We are looking for the number of triplets $(x, y, z)$ such that $x, y, z \in N$,$x Since $x x+x+x = 3x$,so $3x Case $1$: If $x=1$,then $y+z=11$ with $1 Case $2$: If $x=2$,then $y+z=10$ with $2 Case $3$: If $x=3$,then $y+z=9$ with $3 Total number of triplets $= 4 + 2 + 1 = 7$.

Class 11 Mathematics Permutations and Combinations Definition of combinations, Condition combinations

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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

TS EAMCET 2022 All TS EAMCET

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$5$
B
$7$
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$6$
D
$8$

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Permutations and Combinations

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Definition of combinations, Condition combinations

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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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