Permutations and Combinations

Christa, James, Beth, Buzz and Eileen are to be placed in a line in random order.

a

What is the probability that they will be arranged from tallest to shortest?

b

What is the probability that they will be arranged from oldest to youngest?

c

What is the probability that they will be arranged in alphabetical order?

d

What is the probability that the boys will be next to each other and the girls will all be next to each other?

Easy

Approx 4 minutes

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Use permutations and combinations