Answer to Question #314176 in Statistics and Probability for agbai

Question #314176

In how many ways can 6 people be seated for group photographs if there are only 4 seats?


1
Expert's answer
2022-03-21T00:15:11-0400

As the order of the people does matter, we need to find the number of permutations without repetition:

P(n,r)=n!(nr)!;P(6,4)=6!2!=6543=360.P(n, r) =\cfrac{n! } {(n-r)! } ;\\ P(6,4)=\cfrac{6!}{2!}=6\cdot5\cdot4\cdot3=360.


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