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Mathematics, 10.03.2021 14:00 ruben0018

15. A legislative committee consists of 9 Democrats and 6 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below.
(a) How many different delegations are possible?
The 4 delegates can be selected
different ways.
(b) How many delegations would have all Democrats?
The 4 delegates can be selected
different ways if all 4 are Democrats.
(c) How many delegations would have 3 Democrats and 1 Republican?
The delegates can be selected
different ways if 3 are Democrats and 1 is a Republican.
(d) How many delegations would include at least 1 Republican?
The 4 delegates can be selected
different ways if at least 1 is a republican

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