Problem

In how many ways could members of the following club line up all 8 members for a photograph? $\mathrm{N}=\{$ Bob, Tim, Alan, Tammy, Cathy, David, Sandy, Ashley $\}$ way(s) (Simplify your answer.)

Solution

Step 1 :We are given a club with 8 members: Bob, Tim, Alan, Tammy, Cathy, David, Sandy, Ashley. We are asked to find out in how many ways we can line up all 8 members for a photograph.

Step 2 :This is a permutation problem because the order in which the members stand for the photograph matters.

Step 3 :The number of permutations of n elements is given by the formula n!, where n is the number of elements. In this case, n = 8.

Step 4 :Using the formula for permutations, we find that there are \(8! = 40320\) ways to line up all 8 members for a photograph.

Step 5 :Final Answer: \(\boxed{40320}\)

From Solvely APP
Source: https://solvelyapp.com/problems/32015/

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