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Find the values of n and r if nPr = n P r+1 and nC r = nC r-1

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UPSC Other Question

. In how many ways can a cricket eleven has to be chosen out of a batch of 15 players if
i) There is no restriction on the selection;
ii) A particular player is always chosen;
iii) A particular player is never chosen ?
Find the value of n and r if n Cr =56 and n Pr = 336