3. Find the number of ways in which a registration number can be formed using the letters of the alphabet and the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if repetition is not allowed and the following conditions are satisfied: a) The registration number starts with 1 letter followed by 5 digits. b) The registration number starts with AB followed by 2 letters and then 2 digits.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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3.
Find the number of ways in which a registration number can be formed using
the letters of the alphabet and the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if repetition is not
allowed and the following conditions are satisfied:
a) The registration number starts with 1 letter followed by 5 digits.
b) The registration number starts with AB followed by 2 letters and then 2 digits.
Transcribed Image Text:3. Find the number of ways in which a registration number can be formed using the letters of the alphabet and the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if repetition is not allowed and the following conditions are satisfied: a) The registration number starts with 1 letter followed by 5 digits. b) The registration number starts with AB followed by 2 letters and then 2 digits.
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