3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For the preparations, they choose among them as follows: 3 people to set the table, 2 people to boil water, 6 people to prepare treats Each person will do only 1 task and the remaining people will not help. a) In how many different ways can the people who will do these jobs be chosen? b) Suppose women don't like tea. In this case, if only 10 people out of 20 will be given tea, find the probability that they are men. c) If only 10 people out of 20 are given tea, find the probability that 9 of them are male and 1 is female.
3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For the preparations, they choose among them as follows: 3 people to set the table, 2 people to boil water, 6 people to prepare treats Each person will do only 1 task and the remaining people will not help. a) In how many different ways can the people who will do these jobs be chosen? b) Suppose women don't like tea. In this case, if only 10 people out of 20 will be given tea, find the probability that they are men. c) If only 10 people out of 20 are given tea, find the probability that 9 of them are male and 1 is female.
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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Transcribed Image Text:3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For the
preparations, they choose among them as follows:
3 people to set the table, 2 people to boil water, 6 people to prepare treats Each person will
do only 1 task and the remaining people will not help.
a) In how many different ways can the people who will do these jobs be chosen?
b) Suppose women don't like tea. In this case, if only 10 people out of 20 will be
given tea, find the probability that they are men.
c) If only 10 people out of 20 are given tea, find the probability that 9 of them are
male and 1 is female.
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