a student council consists of 15 students. (a) how many ways can a committee of eight be selected from the membership of the council? as in example 9.5.4, since a committee chosen from the members of the council is a subset of the council, the number of ways to select the committee is

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13-12-2022
Mathematics

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a student council consists of 15 students. (a) how many ways can a committee of eight be selected from the membership of the council? as in example 9.5.4, since a committee chosen from the members of the council is a subset of the council, the number of ways to select the committee is

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contexto1220 contexto1220 · Answer 1 · 2022-12-21T18:37:27+01:00

We additionally use the aggregate Formula in understanding the variety of methods any of the 2 college students may be chosen. To pick out one from those college students, we use the aggregate Formula 2C1.

Hence, the whole variety of methods to pick out the committee of five and making sure the 2 college students with identical predominant are not at the committee becomes:

= 14C5 * 2C1

= 2002 ^ * 2

= 4004waysTotal variety of Students =15

Total variety of college students to be at the committee =five

Since participants are of the identical predominant and should now no longer be at the committee, then we're left with selecting five human beings from simply 14 People once we subsequently put off one from the ones college students with identical majors.

Hence to pick five human beings from 14 human beings, we use the aggregate method 14C5.

From the 2 college students with identical predominant we additionally use the aggregate Formula in understanding the variety of methods any of the 2 college students may be chosen.