Question 5 an urn contains 19 red marbles and 14 blue

Question 5
An urn contains 19 red marbles and 14 blue marbles. 16 marbles are chosen. In how many ways can 4
red marbles be chosen?
a) 3,876
b)
3,967
c)
76
d)
1,820
e)
352,716
f)
None of the above.
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Question 6
A fair coin is tossed 28 times. In how many outcomes does at least 1 head occur?
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Question 7
A business organization needs to make up a 7 member fund-raising committee. The organization has 6
accounting majors and 6 finance majors. In how many ways can the fund-raising committee be formed if
at least 4 accounting majors are on the committee?
Question 8
A classroom of children has 13 boys and 17 girls in which five students are chosen to do presentations. In
how many ways can the five students be chosen so that more boys than girls are selected?
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Question 9
A firm has 23 senior and 24 junior partners. A committee of three partners is selected at random to
represent the firm at a conference. In how many ways can at least one of the junior partners be chosen to
be on the committee?
a)
24
b)
14,444
c)
169,510
d)
1,500,290
e)
828
f)
None of the above.
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Question 10
An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 9 times or
exactly 2 times?
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