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If n objects are arrange in a row, th...

If `n` objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. `^n-2C_3` b. `^n-3C_2` c. `^n-3C_3` d. none of these

A

`((n-2)(n-3)(n-4))/6`

B

`.^(n-2)C_(3)`

C

`.^(n-3)C_(3)+.^(n-3)C_(2)`

D

None of these

Text Solution

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The correct Answer is:
a,b,c,d
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