Additional counting problems:
The following relationship governs the cardinality of sets:
card(AÈBÈC)= card A + card B + card C - card (AÇB) - card (AÇC) - card (BÇC) + card (AÇBÇC)
Use this relationship to solve these problems:
1. From a survey of 120 people, the following data were obtained:
90 owned a cara) How many people in this survey owned either a car, a home, or a computer?
40 owned a home
35 owned a computer
32 owned a car and a home
21 owned home and a computer
26 owned a car and a computer
17 owned all three
2. Find the number of integers in the set {n: 100 £ n £ 999} with at least one kth digit equal to k for k = 1,2,3.
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