How many ways can a committee of 5 be selected from a group of 12 persons if one particular person is always in the committee?

P=3628800120⋅5!

How many committees of 5 can be formed?

∴10C5=10! 5! ×5! =252.

Which of the following property is a group G must hold in order to be an Abelian group?

commutative property
The commutative property must hold, in order to be an Abelian group.

How many ways can a committee of 5 be selected from a club with 10 members?

252
5! Therefore, the number of ways of selecting a committee of 5 members from a group of 10 persons is 252.

How many committees of 5 members can be formed from 6 gentlemen and 4 ladies?

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.

How many committees of 5 people can be chosen from 9 people?

By multiplication rule, a committee of 5 people out of 9 people can be chosen in 9*8*7*6*5=3024 ways.

Which of the following property holds in a group G?

An abelian group G is a group for which the element pair (a,b)∈G always holds commutative law. So, a group holds five properties simultaneously – i) Closure, ii) Associative, iii) Identity element, iv) Inverse element, v) Commutative.

What is Abelian group in cryptography?

An Abelian group is a group for which the elements commute (i.e., for all elements and. ). Abelian groups therefore correspond to groups with symmetric multiplication tables. All cyclic groups are Abelian, but an Abelian group is not necessarily cyclic. All subgroups of an Abelian group are normal.

How many ways can a team of 5 persons?

As either of the two can be selected as the first member this makes a total of 2*70 =140 ways. In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two particular persons should not be included in any team?

How many people are needed to form a 5-person committee?

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included? – Quora A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included?

How many women can be on a committee?

Which means we have to calculate for the cases when 1 women is on the committee, when 2 women could be on the committee, 3 women on the committee and all 4 women on the committee. A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there must be “At least “ One women on the committee?

Can a committee of 5 be formed out of 6 Gents?

The two groups of items to select from are not identical so you can’t combine them together to select from the combined list. Originally Answered: A committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways can this be done when at most, two ladies are included?

How many people do I need to pick groups?

You’ll want to identify how many ways you can pick groups, which will be a product of choosing a number gents and a number of ladies, in this form: From a group of 6 men & 5 women, 4 people are to be selected to form a committee so that at least 2 men are in the committee.

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