2 question says how many 3% committee can be selected from a fraternity with 25 members the option 15625 13820 375 so the method of finding out out is pretty simple it is just 2553 which means the number of combinations which can be formed of 3 people from 25 people which is given by 25 factorial upon 3 factorial in 222 factorial which comes out to be 25 into 24 into 23 upon 3 into 2 ok 22 Studio cancel the 22 factorial on the numerator and so this comes out with 25 into 24 into 23.35 12 which is 3 into 2 into 1 you can write
into one human was frightened because it does not collect any difference in the Calculation and so this comes out to be 2300 it is basically the number of ways from in which three members can be selected from from 25 members and so this is a very basic function of combination combination coronavirus found it up with this formula and factorial upon in in factorial into a minus b upon our factory in 21 - 8 factorial thank you
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Answer by jim_thompson5910[35256]
You can put this solution on YOUR website!
Since order does not matter, we must use the combination formula:
Plug in and
Subtract to get 20
Expand 25!
Expand 20!
Cancel
Simplify
Expand 5!
Multiply 25*24*23*22*21 to get 6,375,600
Multiply 5*4*3*2*1 to get 120
Now divide
So 25 choose 5 [where order doesn't matter] yields 53,130 unique combinations
So there are 53,130 different ways to form a group of 5 people.