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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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.
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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