## Related questions with answers

Seven performers A, B, C, D, E, F, and G are to appear in a fund raiser. The order of performance is determined by random selection. Find the probability that

$\textbf{a.}\hspace{10pt}\text{D will perform first.}$

$\textbf{b.}\hspace{10pt}\text{E will perform sixth and B will perform last.}$

$\textbf{c.}\hspace{10pt}\text{The comedians will perform in the following order:C, D, B, A, G, F, E.}$

$\textbf{d.}\hspace{10pt}\text{CF or G will perform first.}$

Solution

VerifiedThe situation describes permutation because the order in which the comics perform is important. We can use the Fundamental Counting Principle to find the number of permutations: The number of ways in which successive things can occur is found by multiplying the number of ways each thing can occur.

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