SOLUTION: A group of 30 state representatives are on the state’s telecommunications committee; 20 of them are Democrats and 10 of them are Republicans. If a subcommittee of 8 members needs t

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Question 382020: A group of 30 state representatives are on the state’s telecommunications committee; 20 of them are Democrats and 10 of them are Republicans. If a subcommittee of 8 members needs to be formed from the telecommunications committee, then answer the following: (Show how you arrived at your answer. Use the proper mathematical notation.)
How many different groups can be formed if there at most 6 Republicans on the subcommittee?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=Combination of n things taken r at a time.
30C8 - (10C8 + (10C7*20C1))
=5852925 - (45 + (120*20))
=5852925 - 2445
=5,850,480
.
Ed