The combinatorial coefficient \( { }^{\mathrm{n}-1} C_{\mathrm{p}} \) denotes (A) the number of ...

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The combinatorial coefficient \( { }^{\mathrm{n}-1} C_{\mathrm{p}} \) denotes
(A) the number of ways in which \( n \) things of which \( \mathrm{p} \) are alike and rest different can be arranged in a circle.
(B) the number of ways in which \( p \) different things can be selected out of \( n \) different thing if a particular thing is always excluded.
(C) number of ways in which \( n \) alike balls can be distributed in \( p \) different boxes so that no box remains empty and each box can hold any number of balls.
(D) the number of ways in which \( (n-2) \) white balls and \( p \) black balls can be arranged in a line if black balls are separated, balls are all alike except for the colour.
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