(a)
To find:
The total number of subsets of
(a)
Answer to Problem 1WE
The total number of subsets is
Explanation of Solution
Given:
The total number of subsets of two letter
Concept used:
A subset is formed by taking either
Calculation:
The number of ways of selecting none is
The number of ways of selecting
The number of ways of selecting
The number of ways of selecting
The total number of subset possible is
By property of sum of binomial coefficient
The total number of subsets of two letter
Using equation (1)
Hence ,
The total number of subsets is
(b)
To find:
Thesubsets containing fewer than
(b)
Answer to Problem 1WE
The total number of subsets is
Explanation of Solution
Given:
The total number of subsets of two letter
Concept used:
A subset is formed by taking either
Calculation:
The number of ways of selecting none is
The number of ways of selecting
The number of ways of selecting
The number of ways of selecting
The total number of subset possible is
By property of sum of binomial coefficient
The total number of subsets of two letter
Using equation (1)
Hence ,
The subsets containing fewer than
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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