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 3876 different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected 210 different ways if all 4 are Democrats. (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected 1080 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 3666 different ways if at least 1 is a Republican.
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We are given that there are 10 Democrats and 9 Republicans, and a delegation of 4 is to be selected. Part (a): How many different delegations are possible? This is a combination problem, as the order of selection does not matter. We need to choose 4 delegates Show more…
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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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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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