Question 205507
Conditional Probability/Bayes' Formula/Independent Events
Not sure which one the below is; can anyone help?  thank you!!

A legislative committee consists of 7 Democrats, 5 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic:
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"N things, CHOOSE R" is calculated this way

      N*(N-1)*(N-2)···until there are R factors in the numerator
NCR = ----------------------------------------------------------
                                  R!
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a) How many different delegations are possible?
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13 people, CHOOSE 3

{{{13C3 = (13*12*11)/(3*2*1) = 286}}}

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b) How many different delegations consist of at least 1 Republican?
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Note that "AND" usually means "TIMES":

"5 Republicans, CHOOSE 1" AND "12 others, CHOOSE 2":

{{{(5C1)*(12C2)=(5/1)*((12*11)/(2*1)) = 330}}}

Edwin</pre>