3. Using the digits 1, 2, 3 and 4, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? b) The first digit must be 1 and repetition of the digits is not allowed?
3. Using the digits 1, 2, 3 and 4, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? b) The first digit must be 1 and repetition of the digits is not allowed?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Please answer Number 3 only. Show the given, formula and then the solution together with the final answer
![1. A man has 5 different suits, 7 different shirts and 4 different pairs of shoes. In how many
ways can this man wear a suit, a shirt, and a pair of shoes?
2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many
different license plate numbers can be formed? (letters and digits may be repeated).
3. Using the digits 1, 2, 3 and 4, how many 4 digit numbers can be formed if
a) The first digit must be 1 and repetition of the digits is allowed?
b) The first digit must be 1 and repetition of the digits is not allowed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9672bec4-2d30-4d35-b7cd-8376de665c20%2F1c4da235-9bb5-42bb-bd06-3cc3a3f7fe11%2Fyt0foxu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A man has 5 different suits, 7 different shirts and 4 different pairs of shoes. In how many
ways can this man wear a suit, a shirt, and a pair of shoes?
2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many
different license plate numbers can be formed? (letters and digits may be repeated).
3. Using the digits 1, 2, 3 and 4, how many 4 digit numbers can be formed if
a) The first digit must be 1 and repetition of the digits is allowed?
b) The first digit must be 1 and repetition of the digits is not allowed?
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