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How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ?
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How many different numbers between 100 and 1000 can be formed using th...
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Number of Different Numbers Between 100 and 1000
To find the number of different numbers between 100 and 1000 that can be formed using the digits 0 1 2 3 4 5 6, we need to apply the following rules:
- The first digit cannot be 0
- Each digit can only be used once
Using these rules, we can determine the number of different numbers by multiplying the number of choices for each digit:
- There are 6 choices for the first digit (1, 2, 3, 4, 5, or 6)
- There are 6 choices for the second digit (any of the remaining 6 digits)
- There are 5 choices for the third digit (any of the remaining 5 digits)
Therefore, the number of different numbers between 100 and 1000 that can be formed using the digits 0 1 2 3 4 5 6 is:
6 × 6 × 5 = 180
Number of Numbers Divisible by 5
To find the number of numbers between 100 and 1000 that are divisible by 5, we need to apply the following rules:
- The last digit must be 0 or 5
- The first digit cannot be 0
- Each digit can only be used once
Using these rules, we can determine the number of numbers divisible by 5 by multiplying the number of choices for each digit:
- There are 5 choices for the third digit (0, 2, 4, 6, or 5)
- There are 5 choices for the second digit (any of the remaining 5 digits)
- There are 4 choices for the first digit (any of the remaining 4 digits)
Therefore, the number of numbers between 100 and 1000 that are divisible by 5 is:
5 × 5 × 4 = 100
Community Answer
How many different numbers between 100 and 1000 can be formed using th...
180 and 72
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How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ?
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How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ?.
How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different numbers between 100 and 1000 can be formed using the digits 0 1 2 3 4 5 6 assuming that in any numbers the digit are not repeated also find how many of these will be divisible by 5 ?.
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