Sect Secure https./waw msthxl.com/Student/Player Sacred MATH 131-F. Statistics l

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Sect Secure https./waw msthxl.com/Student/Player Sacred MATH 131-F. Statistics lor Dacision Making Fal 2017 Quiz: Chapter 3 Review Quiz ab his Question: 1 pt This Quiz 19ptspo Home work There are 18 finalists in a singing competrion. The top lour singers recetve prices. How mary ways can the singars nish rst theough lourh There are different ways tat the snors can nrish first through turn (Type a whole number) Plan tor Conterts for Succiess meda Lbrary ae Options Tutor Ser Tools Enter your answer in tha answer bax

Explanation / Answer

It is a permutation, because the order in which they finish matters.

There are 18 positions in each possible arrangement: first place, second place and so on, ending with eighteenth place. Any of the 18 singers could finish in first place. Then, any of the remaining 17 singers could finish in second place, Then, any of the remaining 16 singers could finish in third place and any of the remaining 15 singers could finish in fourth place.

Using the multiplication principle, the number of permutations is a factorial.

The answer is 18!

        =18*17*16*15

        =73440

There are 73440 ways can the singers finish first through fourth.

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