A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick from). 1. How many different lock codes can there be if the digits can be repeated? For example, a code can be 0000. 2. Explain how you got your answer. 3. How many different lock codes are there if each digit may only be used once? For example, a code can not be 0103 because 0 cannot be used more than once. Explain your thinking. 4. Explain how you got your answer.
A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick from). 1. How many different lock codes can there be if the digits can be repeated? For example, a code can be 0000. 2. Explain how you got your answer. 3. How many different lock codes are there if each digit may only be used once? For example, a code can not be 0103 because 0 cannot be used more than once. Explain your thinking. 4. Explain how you got your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 37E
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Transcribed Image Text:A lock code has 4 digits in a specific order, the digits are between 0-9 (so 10 total numbers to pick
from).
1. How many different lock codes can there be if the digits can be repeated? For example, a code
can be 0000.
2. Explain how you got your answer.
3. How many different lock codes are there if each digit may only be used once? For example, a
code can not be 0103 because 0 cannot be used more than once. Explain your thinking.
4. Explain how you got your answer.
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