Acommittee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 8 faculty members and 15 students eligible to serve on the committee. in how many ways can the committee be formed?

42042 number of ways can the committee be formed.

Step-by-step explanation:

Given: There are 8 Faculty member and 15 students eligible to serve on the committee.

Need to form a committee of 4 faculty and 5 students.

Now, finding the number ways that committee to be formed.

lets use the combination formula to find combination of faculty and students.

Subtituting the value in the formula

⇒

⇒

⇒

⇒

⇒

∴ 42042 number of ways can the committee be formed.

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step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .