a certain congressional committee consist of 13 senators and 14 representatives. how many ways can a subcommittee of 6 be formed if at least 5 of the members must be representatives
There are 13 ways to choose 1 from senators and combination of 14 taken 5 from representatives, therefore, there are 13*2002=26026 ways a subcommittee of 6 be formed if at least 5 of the members must be representatives.
its wrong on my end, turns out to be 29,029
Sorry, i overlooked the term at least, so add the case where all 6 are representatives, combination of 14 taken 6=3003. you are correct, 26026+3003=29029
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