A legislative committee consists of 4 Democrats and 8 Republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 3 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 3 delegates can be selected different ways if all 3 are Democrats. (c) How many delegations would have 2 Democrats and 1 Republican? The 3 delegates can be selected different ways if 2 are Democrats and 1 is a Republican. (d) How many delegations would include at least 1 Republican? The 3 delegates can be selected different ways if at least 1 is a Republican.
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