-1
6,375,600
4 people can be selected from a pool of 15 people in (15 x 14 x 13 x 12) = 32,760 ways.But each group of 4 can be selected and seated in (4 x 3 x 2 x 1) = 24 ways.So the number of different 4-person subcommittees formed from 15 people is (32,760 / 4) = 8,190 .
72
Either 5040 or 210, depending on a whether order is important. Keep reading.Four slots. First slot: 10 people to choose from 2nd slot: 9 people left (1 is already chosen) 3rd: 8 4th: 710*9*8*7=5040, assuming, of course, the people are chosen randomly and no one person can be on the committee twice.But then we need to adjust this figure because there will be some duplication, since if Ben, George, Sue, and Jill are chosen for example, there are different ways that they can be chosen and all four of these same people are still on the committee. This is much like when Lotto balls are draw - you don't really care what order the balls are drawn as long as you match them up. So the number of ways that 4 people can be arranged in 4 positions is 4! = 4 x 3 x 2 x 1 = 24. So dividing 5040 by 24 will give you the number of possible committee selections, assuming that it doesn't matter which order they are chosen.
40 x 39 x 38 x 37 = 2193360
There is no specific number of vultures in a committee. A committee of vultures is just a group of vultures.
125
I'm going with 25,200 3 men out of 10 may be chosen in 10C3 ways = 10 ! / 3! 7 ! = 120 ways. 4 women may be chosen out of 10 in 10C4 = 10 ! / 4! 6! ways = 210 ways. Therefore, a committee with 3 men and 4 women can be formed in 120 x 210 = 25,200 ways.
-1
Roughly four thousand
6,375,600
309*308/2 = 47586
7C4 = 35
12C9 = 220
At the beginning of each new session of Congress, members of both parties decide how many members of each will be assigned to the committee. Members of Congress express their preferences for committee assignments and the whole body votes on the final committee makeup.
4 people can be selected from a pool of 15 people in (15 x 14 x 13 x 12) = 32,760 ways.But each group of 4 can be selected and seated in (4 x 3 x 2 x 1) = 24 ways.So the number of different 4-person subcommittees formed from 15 people is (32,760 / 4) = 8,190 .