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### probs2

Course: MATH 1711, Fall 2008
School: Georgia Tech
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Word Count: 142

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1711: MATH WEEK 2 PRACTICE PROBLEMS 1. How many 4-letter words (real or imaginary) can be made from the letters in MISSISSIPPI if (a) letters can be repeated? (b) letters cannot be repeated? 2. A club consists of 20 members. In how many ways can the club elect three ocers (president, vice-president, secretary), and a publicity committee consisting of 4 members? (You may assume the ocers are selected before the...

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1711: MATH WEEK 2 PRACTICE PROBLEMS 1. How many 4-letter words (real or imaginary) can be made from the letters in MISSISSIPPI if (a) letters can be repeated? (b) letters cannot be repeated? 2. A club consists of 20 members. In how many ways can the club elect three ocers (president, vice-president, secretary), and a publicity committee consisting of 4 members? (You may assume the ocers are selected before the committee is chosen.) 3. (a) In how many ways can a jury of 12 people be selected from a pool 14 of women and 6 men? (b) Repeat part (a) if the committee must contain at least 2 men. 4. In how many ways can a committee of 7 people be chosen from 15 married couples if no married couple may be on the committee? SOLUTIONS 1. (a) 44 = 256 ways (b) 4! = 24 ways 2. P (20, 3) C(17, 4) = 20 19 18 ...

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