^{n}P_{r} = n(n – 1)(n – 2) … (n – r + 1) =  n! 
(n – r)! 
Then, number of permutations of these n objects is =  n! 
(p_{1}!).(p_{2})!…..(p_{r}!) 
^{n}C_{r} =  n!  =  n(n – 1)(n – 2) … to r factors  . 
(r!)(n – r)!  r! 
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