5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected, in how many ways can 9 students be chosen from the group a) to form a committee? b) to take up 9 different posts in a committee.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...
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Answer ONLY number 5.

 

4. Find the number of ways of arranging the 26 letters of the English alphabet in a
row such that there are exactly 5 letters between x and y.
5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to
be selected, in how many ways can 9 students be chosen from the group
a) to form a committee?
b) to take up 9 different posts in a committee.
6. How many diagonals does an n-gon have?
7. Two sets of parallel lines with p horizontal and q vertical lines intersect. Find the
number of rectangles formed.
Transcribed Image Text:4. Find the number of ways of arranging the 26 letters of the English alphabet in a row such that there are exactly 5 letters between x and y. 5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected, in how many ways can 9 students be chosen from the group a) to form a committee? b) to take up 9 different posts in a committee. 6. How many diagonals does an n-gon have? 7. Two sets of parallel lines with p horizontal and q vertical lines intersect. Find the number of rectangles formed.
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