Problem No. 6 Answer the following problems on permutations and combinations. a. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate? b. Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each Ccouple is to sit together? (c) if all the men sit together to the right of all the women? c. How many distinct permutations can be made from the letters of the word INFINITY? d. How many ways are there to select 3 candidates from 8 equally qualified fresh graduates for openings in a structural consultancy firm? e. How many ways are there that no two students will have the same birth date in a class of size 60?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem No. 6
Answer the following problems on permutations and combinations.
a. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must
alternate?
b. Four married couples have bought 8 seats in the same row for a concert. In how
many different ways can they be seated (a) with no restrictions? (b) if each couple
is to sit together? (C) if all the men sit together to the right of all the women?
c. How many distinct permutations can be made from the letters of the word INFINITY?
d. How many ways are there to select 3 candidates from 8 equally qualified fresh
graduates for openings in a structural consultancy firm?
e. How many ways are there that no two students will have the same birth date in a
class of size 60?
Transcribed Image Text:Problem No. 6 Answer the following problems on permutations and combinations. a. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate? b. Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (C) if all the men sit together to the right of all the women? c. How many distinct permutations can be made from the letters of the word INFINITY? d. How many ways are there to select 3 candidates from 8 equally qualified fresh graduates for openings in a structural consultancy firm? e. How many ways are there that no two students will have the same birth date in a class of size 60?
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