# Probability

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2. Twenty workers are to be assigned to 20 different jobs, one to each job. How many different assignments are possible?

3. A student is to answer 7 out of 10 questions in an examination. How many choices has she? How many if she must answer at least 3 of the first 5 questions?

4. A dance class consists of 22 students, 10 women and 12 men. If 5 men and 5 women are to be chosen and then paired off, how many results are possible?

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#### Solution Preview

2. Twenty workers are to be assigned to 20 different jobs, one to each job. How many different assignments are possible?

This is a question of permutation:

(20)P(20) = 20! = 20*19*18*...*2*1 = 2,432,902,008,176,640,000

3. A student is to ...

#### Solution Summary

This solution is comprised of a detailed explanation to answer how many different assignments are possible, how many choices has she, how many if she must answer at least 3 of the first 5 questions, and how many results are possible.