Q&A

How many different committees of 5 can be formed from 6 men and 4 women on which accept 3 men and 2 women serve?

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How many different committees of 5 can be formed from 6 men and 4 women on which accept 3 men and 2 women serve?

Originally Answered: A committee of 5 persons is to be formed from 6 men and 4 women. How many ways can this be done when at most, 2 women are included? So in total there are 186 possibilities.

How many committees of 5 members may be formed from 6 men and 4 women?

Complete step-by-step answer: According to the question we have to make a committee of 5 and in each committee formed there must be at least one lady. There are 6 gentlemen and 4 ladies. Hence, the required number of committees is 246.

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How many ways a project team of 5 members can be selected from 6 men and 5 women consisting of 3 men and 2 women?

(∵ncr=n! r! (n−r)!) Hence in a committee of 5 members selected from 6 men and 5 women consisting 3 men and 2 women is 200 ways.

How many different committees of 5 members may be formed from 6 gentlemen and 5 ladies?

∴10C5=10! 5! ×5! =252.

How many committees of 5 people can be formed?

After simplifying (very preferably with a scientific or graphing calculator), we get 3003. So, there are 3003 ways of picking 5 people from a group of 15. Note that the combination formula can be noted by _nCr . It is this way that you can enter it onto a graphing calculator.

How many different committees of 6 members may be formed from 7 gentlemen and 5 ladies?

How many different 3 member committees can be formed from 4 men and 3 women if at least 2 member committees must be women?

The girls can be selected in 4 ways (three pairs and one trio). For each of those female configurations, 0-4 boys can be chosen 16 different ways. Therefore, 4*16=64 different committees can be formed in which there are at least 2 girls. What is the minimum committee size?

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How many 4 person teams can be made from a group of 9 players?

There are 6 different choices for the fourth person. 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 groups of 4 people can you select from 7 people position of people in each group does not matter?

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