How would you use permutations to find the arrangements possible

3c4ar1bzki1u 2022-05-08 Answered
How would you use permutations to find the arrangements possible if a line has 4 girls and 4 boys alternating boy girl boy girl?
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Answers (1)

bamenyab4mxn
Answered 2022-05-09 Author has 16 answers
Step 1
Line of 4 boys: 4 × 3 × 2 × 1 = 4 ! = 24 possibilities.
Line of 4 girls: also 4 ! = 24 possibilities.
Step 2
Combination of the two: 4 ! × 4 ! = 24 2 = 576 posibilities.
If it doesn't matter whether the first is a boy or a girl, we'll have to double that to 2 × 576 = 1152
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