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).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 21PT: How many distinct ways can the word EVANESCENCE be arranged if the anagram must end with the letter...
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Please answer Number 2 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?
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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