Question
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 \( \} \) \( \square \) way(s) (Simplify your answer.)
Ask by Morgan Vargas. in the United States
Mar 16,2025
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Tutor-Verified Answer
Answer
There are 40,320 different ways for the 8 members to line up.
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The number of ways to line up all 8 members is given by the factorial of the number of members. In this case, we calculate \( 8! \) (8 factorial): \[ 8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40320 \] Therefore, the number of ways the members can line up for a photograph is \( 40320 \) ways.