0
How many different 3 person committees can be formed from a group of 8?
Wiki User
∙ 12y ago
8.7.6/3! = 56
Here is why this works. There are 8 choices for the fist member of the committee.
Then we have 7 choices for the next and 6 for the last.
HOWEVER, when picking a committee, the order does not matter.
So for example if we pick Chuck, Judy and Melanie and we denote them as C, J and M respectively, then one committee is CJM but that is the same committee as CMJ and MCJ. In fact, there are 3! or 3x2x1=6 ways to arrange the 3 members so we must divide 8x7x6 by 6 and the result is 56 committees of 3 people picked from 8.
Picking a committee is an example of a combination problem in math. If order mattered it would be a permutation.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
How many 2-member committees can be formed from a group of 7 people?
-5
How many two person committees can be chosen from a group of nine people?
72
How many 4 person committees can be chosen from a group of 32?
The number of distinct, different 4-person committees that can be formedfrom a group of 32 people is(32!/28!) / (4!) = (32 x 31 x 30 x 29) / (4 x 3 x 2 x 1) = 35,960(but obviously, no more than four at a time.)
How many different committees can be selected from a group of 10 people if a committee must have between 2 and 4 people?
5 for 2, 3 for 3, 2 for 4.
How many ways can a 9 person committee be selected from a group of 12?
Nine people can be selected from the group in(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4) = 79,833,600ways.But each group of the same 9 people can be selected in(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 362,880 different orders.So the number of different 9-person committees that can be selected is79,833,600/362,880 = 220 .
How many different three member committees can be formed from a group of twenty-five people?
There are 2300 possible combinations.
How many different four person committees can be formed from a group of 9 people?
(9 x 8 x 7 x 6)/(4 x 3 x 2 x 1) = 126committees.
How many committees of 7 can be formed from a group of 10 people?
There are: 10C7 = 120
How many different 5 persons committees can be formed from a group of 8 women and 6 men with each committee containing at least 3 women?
1316
How many 2-member committees can be formed from a group of 7 people?
-5
How many two person committees can be chosen from a group of nine people?
72
How many 6 person committees can be formed from a group of 16?
They can't be split evenly into groups of six. Sixteen people can split into two groups of six, and there will be four people left over.
How many 4-person committees are possible from a group of 9 people if there are no restrictions?
-5
What was the effect of committees of correspondence were formed?
The committees of correspondence was a group of representatives from each of the thirteen colonies that was created to help the colonies keep in contact. from each meeting they would let the people of their colony know what was going on.
How many 4 person committees can be chosen from a group of 32?
The number of distinct, different 4-person committees that can be formedfrom a group of 32 people is(32!/28!) / (4!) = (32 x 31 x 30 x 29) / (4 x 3 x 2 x 1) = 35,960(but obviously, no more than four at a time.)
How many different 5 member committees can you make from a group of 7 people?
The answer is 7C5 = 21.
What was the committee of correspondance?
The ones connected directly to the First Continental Congress (September 1774) and the Revolutionary War (April 1775) were formed in 1772 and 1773. Earlier committees had been formed in response to the Stamp Act in 1764.
