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Chapter 13: Q 25. (page 847)

Four-digit Numbers: How many four-digit numbers can be

formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first

digit cannot be 0? Repeated digits are allowed.

Short Answer

Expert verified

There are 9000 four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0.

Step by step solution

01

  Step 1. Given information

Four-digitNumber:abcdChoices:0,1,2,3,4,5,6,7,8,and9Conditions:1.Firstdigitcannotbe02.Repeateddigitsareallowed.

02

 Step 2. Calculation

Four-digitNumberLetssay:abcdFora:9choicesForb:10choicesForc:10choicesFord:10choicesSo,four-digitnumberscanbeformedusingthegivendigits:9脳10脳10脳10=9000

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