19 I In how many ways can a number be chosen from 1-22 such that B It is a multiple of 2 Alt is a multiple of 3 or 8? or 3? II One has 15 pairs of jeans and 17 shirts, in how many ways could the person combine these clothes if he wears a pair of jeans and a shirt at a time? III In how many ways could a supermarket manager display 9 brands of cereals in 5 spaces on a shelf?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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19 I In how many ways can a number be chosen from 1-22
such that
Alt is a multiple of 3 or 8?
or 3?
II One has 15 pairs of jeans and 17 shirts, in how many ways
could the person combine these clothes if
jeans and a shirt at a time?
III In how many ways could a supermarket manager display 9
brands of cereals in 5 spaces on a shelf?
IV How many different number plates for cars could be made if
each number plate contains four (4) of the digits from 0 - 9
followed by a letter A – Z(not including O), and prefixed with
ER, assuming that
a) no repetition allowed
V In how many ways can the letters of the word 'STATISTICS’
be arranged?
B It is a multiple of 2
he wears a pair of
b) repetition allowed
VI How many combinations are there if 11 distinct things taking
4 at a time?
VII
In how many different ways can 7 of 19 teachers be
selected to assist with the preparation of exams?
VIII A statistics lecturer sets 13 questions in an end of semester
exam and students were asked to attempt any 8 of them. Find the
number of ways of selecting these questions.
IX In how many ways could a committee comprising of 8 men
and 6 women be formed from a group of 11 men and 9 women?
X A box contains 13 red, 8 white and 9 blue balls. If three balls
one drawn at random simultaneously, find the probability that
A all are red
B 2 are red and 1 white
C at least one is red
D 1 of each colour is
drawn
XI In a group of 11 boys and 9 girls, 5 are to be selected. In how
many ways can they be selected such that at least one boy
should be there?
There are 9 periods in each working day of a school. In
how many ways can one organize 5 subjects such that each
subject is allowed at least one period?
XII
Transcribed Image Text:19 I In how many ways can a number be chosen from 1-22 such that Alt is a multiple of 3 or 8? or 3? II One has 15 pairs of jeans and 17 shirts, in how many ways could the person combine these clothes if jeans and a shirt at a time? III In how many ways could a supermarket manager display 9 brands of cereals in 5 spaces on a shelf? IV How many different number plates for cars could be made if each number plate contains four (4) of the digits from 0 - 9 followed by a letter A – Z(not including O), and prefixed with ER, assuming that a) no repetition allowed V In how many ways can the letters of the word 'STATISTICS’ be arranged? B It is a multiple of 2 he wears a pair of b) repetition allowed VI How many combinations are there if 11 distinct things taking 4 at a time? VII In how many different ways can 7 of 19 teachers be selected to assist with the preparation of exams? VIII A statistics lecturer sets 13 questions in an end of semester exam and students were asked to attempt any 8 of them. Find the number of ways of selecting these questions. IX In how many ways could a committee comprising of 8 men and 6 women be formed from a group of 11 men and 9 women? X A box contains 13 red, 8 white and 9 blue balls. If three balls one drawn at random simultaneously, find the probability that A all are red B 2 are red and 1 white C at least one is red D 1 of each colour is drawn XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected such that at least one boy should be there? There are 9 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period? XII
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