
Concept explainers
To find number of possible outcomes when there is no restrictions on number of times each number is used.

Answer to Problem 22PPS
10000
Explanation of Solution
Given information: 4 digit bicycle code with digits 0 to 9.
Concept Used: Fundamental Counting Principle
Explanation-
There are ten digits (0 to 9).So in all four places, since there is no restriction, all ten digits may be used. Hence total number of possible combinations is-
To find number of possible outcomes where each number is used only once.

Answer to Problem 22PPS
5040
Explanation of Solution
Given information: 4 digit bicycle code with digits 0 to 9.
Concept Used: Fundamental Counting Principle
Explanation-
There are ten digits (0 to 9).So in all four places, since there is a restriction of not repeating any digit at all, the total number of possible combinations is-
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