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Let A be a set of n `(>=3)` distinct elements. The number of triplets `(x, y, z)` of the A elements in which at least two coordinates is equal toA. `""^(n)C_(3)xx3!`B. `n^(3)-""^(n)C_(3)xx3!`C. `3n^(2)-2n`D. `3n^(2)(n-1)` |
Answer» We have, Required number of triplets = Total number of triplets - Number of triplets in which no two coordinates are equal `=n^(3)-""^(n)C_(3)xx3!`. |
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