5. Zelma is having a luncheon for herself and nine of the women in her tennis league. On themorning of the luncheon she places name cards at the ten places at her table and then leaves torun a last-minute errand. Her husband, Herbert, comes home from his morning tennis match andunfortunately leaves the back door open. A gust of wind scatters the ten name cards. In howmany ways can Herbert replace the ten cards at the places at the table so that exactly four of theten women will be seated where Zelma had wanted them? In how many ways will at least four ofthem be seated where they were supposed to be?
5. Zelma is having a luncheon for herself and nine of the women in her tennis league. On themorning of the luncheon she places name cards at the ten places at her table and then leaves torun a last-minute errand. Her husband, Herbert, comes home from his morning tennis match andunfortunately leaves the back door open. A gust of wind scatters the ten name cards. In howmany ways can Herbert replace the ten cards at the places at the table so that exactly four of theten women will be seated where Zelma had wanted them? In how many ways will at least four ofthem be seated where they were supposed to be?
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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5. Zelma is having a luncheon for herself and nine of the women in her tennis league. On the
morning of the luncheon she places name cards at the ten places at her table and then leaves to
run a last-minute errand. Her husband, Herbert, comes home from his morning tennis match and
unfortunately leaves the back door open. A gust of wind scatters the ten name cards. In how
many ways can Herbert replace the ten cards at the places at the table so that exactly four of the
ten women will be seated where Zelma had wanted them? In how many ways will at least four of
them be seated where they were supposed to be?
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