In combinatorial terms it makes no difference whether you pick one chairperson out of 12 and five other persons, or you pick 6 persons out of 12 and then they pick one of their subgroup to be chair.
Number of ways of selecting 1 out of 12 = 12
That leaves 11 persons and you want 5 from them. this can be done in 11C5 = 11*10*9*8*7/(5*4*3*2*1) = 452 ways.
So total number of ways = 12*462 = 5544
30240
53,130 ways.
-1
5 for 2, 3 for 3, 2 for 4.
The formula would be: (40!/36!)/4! This gives 2193360/24, or 91,390 unique groups.
18x17= 306 ways
who is the chairperson of the commerce committee
4
30240
This number is 19(52)(52-1)(52-2)(52-3)(52-4)(52-5)(52-6)(52-7), or approximately 5.89 X 1014. The reasoning is as follows: Any one of the 19 freshman can be selected first. After this choice is made, there are 52 remaining persons (34 + 19 -1) from among whom the second position on the committee can be chosen, 52 -2 remaining persons for the third position, etc.)
560.
53,130 ways.
There are 8!/(4!*4!) = 70 ways.
-1
Typically a group of people selected from within a corporation that will work together in a committee to make an event happen. this will include budgeting, promoting and scheduling along with many other functions.
5 for 2, 3 for 3, 2 for 4.
30 = 6 * 5 if we assume the president and the vice-president must be different people.