SOLUTION: 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 Repu

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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:
a) How many different delegations are possible?
b) How many different delegations consist of at least 1 Republican?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
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:

"N things, CHOOSE R" is calculated this way

      N*(N-1)*(N-2)···until there are R factors in the numerator
NCR = ----------------------------------------------------------
                                  R!

a) How many different delegations are possible?

13 people, CHOOSE 3

13C3+=+%2813%2A12%2A11%29%2F%283%2A2%2A1%29+=+286


b) How many different delegations consist of at least 1 Republican?


Note that "AND" usually means "TIMES":

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

%285C1%29%2A%2812C2%29=%285%2F1%29%2A%28%2812%2A11%29%2F%282%2A1%29%29+=+330

Edwin