Question

How many number of ways can a panel of critics rank 1st, 2nd, 3rd and 4th...

How many number of ways can a panel of critics rank 1st, 2nd, 3rd and 4th from among the 12 finalists for the film festival?

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Answer #1

Answer

The first rank can be awarded to any one of 12 finalists in 12 ways. Once the first rank is awarded to a particular finalist, that finalist is not eligible for consideration further ranks. Thus, the second rank can be awarded to any one of the remaining 11 finalists only, which can be done in 11 ways. Similarly, the third and the fourth ranks can be awarded in 10 and 9 ways respectively. Thus, total number of ways a panel of critics can rank 1st, 2nd, 3rd and 4th from among the 12 finalists for the film festival = 12 x 11 x 10 x 9

= 11880 ANSWER

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