TOPIC: Problem Solving on Permutation and Combination. Analyze and Solve each problem. a) In a department store, 8 jackets of different styles need to be displayed. In how many ways can the 8 jackets be hung on a circular rack? b) A bucket contains 14 marbles in which 4 are red, 3 are blue, 4 are green, and 3 are yellow. How many sets of 4 marbles are there in which none are red, but at least 2 are green? c) Jess and Nitz have 6 children, 3 boys, and 3 girls. Three of them are scheduled to wash the dishes tonight. How many ways can the three be selected so that there is at least one boy and at least one girl?
TOPIC: Problem Solving on Permutation and Combination. Analyze and Solve each problem. a) In a department store, 8 jackets of different styles need to be displayed. In how many ways can the 8 jackets be hung on a circular rack? b) A bucket contains 14 marbles in which 4 are red, 3 are blue, 4 are green, and 3 are yellow. How many sets of 4 marbles are there in which none are red, but at least 2 are green? c) Jess and Nitz have 6 children, 3 boys, and 3 girls. Three of them are scheduled to wash the dishes tonight. How many ways can the three be selected so that there is at least one boy and at least one girl?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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TOPIC: Problem Solving on Permutation and Combination.
- Analyze and Solve each problem.
- a) In a department store, 8 jackets of different styles need to be displayed. In how many ways can the 8 jackets be hung on a circular rack?
- b) A bucket contains 14 marbles in which 4 are red, 3 are blue, 4 are green, and 3 are yellow. How many sets of 4 marbles are there in which none are red, but at least 2 are green?
- c) Jess and Nitz have 6 children, 3 boys, and 3 girls. Three of them are scheduled to wash the dishes tonight. How many ways can the three be selected so that there is at least one boy and at least one girl?
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