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Let A be a set of n(ge3) distinct elemen...

Let A be a set of `n(ge3)` distinct elements. The number of triplets (x,y,z) of the set A in which atleast two coordinates are equal to

A

`""^(n)C_(3)xx3!`

B

`n^(3)-""^(n)C_(3)xx3!`

C

`3n^(2)-2n`

D

`3n^(2)(n-1)`

Text Solution

Verified by Experts

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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