(a) There are 5 boys and 2 girls waiting in a straight line for the school...

(a) There are 5 boys and 2 girls waiting in a straight line for the school bus. How many ways
can the queue be arranged such that two girls are not standing next to each other?
(b) There are 7 boys and 5 girls to be assigned into different groups. Answer the following:
i) Suppose that the 12 people are divided into 3 groups so that the number of people
in each group is 2, 4, and 6. How many ways can you assign the people?
ii) Suppose 6 people are randomly chosen without replacement. What is the
probability that 3 of them are boys and 3 are girls?
iii) Suppose 5 people are randomly chosen without replacement. What is the
probability that at least 3 of them are girls?

Expert Solution

orchestra answered 1 year ago

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