(a) A team of 5 debaters of IUB is to be chosen from a section where we have 6 male and 4 female debaters. i. In how many ways can the team be formed if one particular female debater must be included in the team? Ans: 126 In how many ways can the team be formed if one particular male debater must be excluded from the team? Ans: 126 ii.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2. Answer any one of 2(a) and 2(b):
(a) A team of 5 debaters of IUB is to be chosen from a section where
we have 6 male and 4 female debaters.
i.
In how many ways can the team be formed if one particular female
debater must be included in the team? Ans: 126
ii.
In how many ways can the team be formed if one particular male
debater must be excluded from the team? Ans: 126
(b) Prove the identity ()) = ()() using a combinatorial
proof (counting argument). Here n, m, k are positive integers with
k<m<n.
2-k
m-k.
Transcribed Image Text:2. Answer any one of 2(a) and 2(b): (a) A team of 5 debaters of IUB is to be chosen from a section where we have 6 male and 4 female debaters. i. In how many ways can the team be formed if one particular female debater must be included in the team? Ans: 126 ii. In how many ways can the team be formed if one particular male debater must be excluded from the team? Ans: 126 (b) Prove the identity ()) = ()() using a combinatorial proof (counting argument). Here n, m, k are positive integers with k<m<n. 2-k m-k.
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