Common

How many ways can a committee of 3 be chosen from 9?

How many ways can a committee of 3 be chosen from 9?

We can form 84 committees.

What is the number of possible ways of forming a committee of 3 students from a group of 6 students?

There are 20 ways to choose 3 students from a group of 6 students.

How many combinations of 3 students can be selected from a group of 8 students?

This number is (3 C 8) = 56 combinations.

How many ways can a committee of 3 be chosen from 5?

3 people out of 5 can be chosen in 5C3 ways.

How many combinations can you have with 3 teams?

Here is the “slick” way to solve it: there are 3 outcomes for each game (either the odd team wins, they tie, or the even team wins), and there are 3 separate games, so since each game is independent of the other, there are 33=27 possible outcomes.

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How many combinations of 3 categories are there?

3*3*3=27 unique possibilities.

How many groups of 3 can be made from 9 people?

For here we can cross out any numbers where there is one in the numerator and one in the denominator and simplify it to (9*8*7)/ (3*2*1). From there it’s just simple arithmetic: (504)/6=84. So there are 84 unique groups of 3 that can be made from 9 people.

How many new groups can be formed by considering a member?

The new 8 groups that can be formed by considering a member of every group are (1, 3, 5), (1, 3, 6), (1, 4, 5), (1, 4, 6), (2, 3, 5), (2, 3, 6), (2, 4, 5) and (2, 4, 6).

How do you create 3 groups of 3 students?

You want to create 3 groups of 3 students, out of a total of 9. To make it easier, let’s do it one at a time: First, you want to choose a group of 3 from 9 people, that is, C 9, 3. Using the formula above, you get 84 different combinations.

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How to count the number of ways in which we form groups?

To count number of ways in which we form new groups can be done using simply formula which is (N1)* (N2)*…. (Nn) where Ni is the no of people in i-th group. // new groups that can be formed.

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