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Number of numbers lying between 10 and 1000 can be formed using the digits 2,3,4,0,8,9?
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Number of numbers lying between 10 and 1000 can be formed using the di...
Counting the Numbers with Given Digits



  • First of all, we need to find out how many digits we can use to form the numbers. From the given digits, we can use 5 digits (2,3,4,8,9) to form the numbers as we cannot form a number with 0.

  • Now, we need to find out how many numbers we can form using these 5 digits. As we can use these digits to form a number with repetition, this is a combination problem.

  • The formula for finding the number of combinations is (n+r-1)C(r-1) where n is the number of items to choose from and r is the number of items to choose.

  • Using this formula, we can find the number of numbers we can form using the given digits which is (5+3-1)C(3-1) = 28.

  • Now, we need to find out how many of these numbers lie between 10 and 1000.



Finding the Numbers between 10 and 1000



  • First, we need to find out how many numbers we can form using the given digits that are less than 10. We can form only one number which is 2.

  • Next, we need to find out how many numbers we can form using the given digits that are between 10 and 100. These numbers can be formed using 2, 3, 4, 8, and 9 as the first digit, and any of the 5 digits as the second digit. Using the formula for combinations again, we get (5+2-1)C(2-1) = 6 numbers.

  • Finally, we need to find out how many numbers we can form using the given digits that are between 100 and 1000. These numbers can be formed using 2, 3, 4, 8, and 9 as the first digit, any of the 5 digits as the second digit, and any of the 5 digits as the third digit. Using the formula for combinations again, we get (5+3-1)C(3-1) = 28 numbers.

  • Therefore, the total number of numbers we can form using the given digits that lie between 10 and 1000 is 1+6+28 = 35.



Conclusion



  • The number of numbers lying between 10 and 1000 that can be formed using the digits 2,3,4,0,8,9 is 35.
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Number of numbers lying between 10 and 1000 can be formed using the digits 2,3,4,0,8,9?
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Number of numbers lying between 10 and 1000 can be formed using the digits 2,3,4,0,8,9? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Number of numbers lying between 10 and 1000 can be formed using the digits 2,3,4,0,8,9? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number of numbers lying between 10 and 1000 can be formed using the digits 2,3,4,0,8,9?.
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