How many committees of 3 men and 2 women can be formed from 7 men and 5 women?

350 ways
Out of 7 men, 3 men can be chosen in 7C3 ways and out of 5 women, 2 women can be chosen in 5C2 ways. Hence, the committee can be chosen in 7C3×5C2=350 ways.

How many committees can be formed from 7?

There are 7*6*5*4*3*2*1 ways to choose any group of 7, = 5040 ways.

How many different committees of 4 members can be formed from 8 persons if a particular man is to be on the committee?

Committees of 4 people = C(8, 4) = 8!/4!. 4! = 70 .

How many more committees of 4 members will be formed from 6 people of the committees were formed with some order and randomly?

Thus, only 3 committees are possible.

How many committees of 5 people can be selected from 5 men and 8 women if the committee must have 3 men and 2 women?

Final answer: There are 525 different ways to create a committee.

How many ways can a 5 persons committee can be formed from a group of 7 men and 5 women if at least 3 men are part of the committee?

5! = 20 ways. 3! Required number of ways = (2520 x 20) = 50400.

How many committees can be formed?

So, there are 2300 different committees that can be formed.

How many committees can be formed from a group of 9 persons by taking any member at any time?

This gives 9×8×7×6 different committees, however this will include the same combinations of people. There are 4×3×2×1 ways in which 4 people can be chosen. 9×8×7×6×54×3×2×1=126 different committees.

How many ways can a committee of 4 be chosen from 7?

Hence, a committee of 4 people be selected from a group of 7 people in 35 ways.

How many different committees of 4 members can be formed from a group with 7 seniors and 6 juniors if there are equal number of seniors and juniors in each committee?

The answer is 30 ways.

How many committees of 5 members can be chosen from a group of 9 persons when each committee must include 3 particular persons?

If they don’t serve we have c(9–2,5)=c(7,5) ways to form the committee. If they do serve on the committee we need to appoint 3 more people out of 7 which makes c(7,3).

How many different committees can be selected from 8 men and 10 women of a committee is composed of three men and three women?

So answer is 495.

How many committees can a group of 7 women form?

Of the 7 women available, we must choose 2. The number of possible groups is 7C2, which is 7! 2! × 5! = 21. Finally, each of the 56 possible sub-groups of only men could be paired with each of the 21 possible sub-groups of only women. That means the final number of possible committees is the product of these two values.

How many different types of committees are there?

There are 1,176 different possible committees. Let’s break this down into the two sub-groups: one with men, and one with women. Of the 8 men available, we must choose 3. The number of possible groups is 8C3, which is 8! 3! × 5! = 56. Of the 7 women available, we must choose 2. The number of possible groups is 7C2, which is 7! 2! × 5! = 21.

How many ways to choose 2 men and 2 women?

So, there are 28 ways to choose 2 men and 28 ways to choose 2 women. This means that there is 282 = 784 ways to choose both 2 men and 2 women.

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