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it is a combination: 9!/4!=9 x 8 x 7 x 6
There are 9*8*7 = 504 ways.
You can choose 4 people in (17 x 16 x 15 x 14) = 57,120 ways.But there are (4 x 3 x 2) = 24 ways to pick the same 4 people, so there are only57,120/24 = 2,380 different groups of 4 people that you can end up with.
The number of ways is 18C5 = 18!/(5!*13!) = 8,568 ways.
First in line can be any of the 12, second can be any of the remaining 11, third any of 10 and fourth any of 9 so 12 x 11 x 10 x 9 ie 11880 different ways
It is: 15C7 = 6435 combinations
it is a combination: 9!/4!=9 x 8 x 7 x 6
20C2 = 190
There are 9*8*7 = 504 ways.
The answer is 15 * 14 * 13 = 15 P 3 = 780 IF you assume that no one person can hold two offices at once and that all in the group are qualified for any office.
You can choose 4 people in (17 x 16 x 15 x 14) = 57,120 ways.But there are (4 x 3 x 2) = 24 ways to pick the same 4 people, so there are only57,120/24 = 2,380 different groups of 4 people that you can end up with.
The number of ways is 18C5 = 18!/(5!*13!) = 8,568 ways.
Well, honey, there are 30 students in the class, and you want to choose a group of 3. So, you're looking at a classic combination situation. The formula for combinations is nCr = n! / r!(n-r)!, so in this case, it's 30C3 = 30! / 3!(30-3)! = 4060 ways to choose those 3 lucky students. It's like picking the winning lottery numbers, but with fewer tears and more math.
First in line can be any of the 12, second can be any of the remaining 11, third any of 10 and fourth any of 9 so 12 x 11 x 10 x 9 ie 11880 different ways
40 x 39 x 38 x 37 = 2193360
10
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.