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The number of 4 digit number formed with the digits 1,1,2,2,3,4?
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The number of 4 digit number formed with the digits 1,1,2,2,3,4?
Number of 4 Digit Numbers Formed with the Digits 1,1,2,2,3,4


Understanding the Problem

To find the number of 4 digit numbers formed with the digits 1,1,2,2,3,4, we need to consider the following:


  • The number should be a 4 digit number.

  • The digits used should be 1, 1, 2, 2, 3 and 4.

  • The digits can be repeated.



Solution

Let's consider the digits one by one and count the number of ways we can use them to form a 4 digit number.


  • Digit 1: We have two 1's. We can select any one of them for the first digit and any one of them for the second digit. So, we have 2 ways of selecting the first two digits.

  • Digit 2: We have two 2's. We can select any one of them for the third digit and any one of them for the fourth digit. So, we have 2 ways of selecting the last two digits.

  • Digit 3: We have only one 3. We can select it for any of the four digits.

  • Digit 4: We have only one 4. We can select it for any of the four digits.


Using the multiplication principle of counting, we can find the total number of ways we can use these digits to form a 4 digit number:

Total number of ways = 2 x 2 x 1 x 1 = 4


Answer

There are 4 four digit numbers that can be formed using the digits 1, 1, 2, 2, 3 and 4.
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The number of 4 digit number formed with the digits 1,1,2,2,3,4?
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The number of 4 digit number formed with the digits 1,1,2,2,3,4? 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 The number of 4 digit number formed with the digits 1,1,2,2,3,4? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of 4 digit number formed with the digits 1,1,2,2,3,4?.
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