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How many 5 digit even number can be formed using the digits 1,2,5,5,4?
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How many 5 digit even number can be formed using the digits 1,2,5,5,4?
Answer:


Introduction:

To find out the number of 5 digit even numbers that can be formed using the digits 1,2,5,5,4, we need to follow certain rules and methods. In this answer, we will explain the step-by-step process to find the solution.

Solution:


Step 1: Find the total number of digits:

The given digits are 1,2,5,5,4. Therefore, the total number of digits is 5.

Step 2: Find the number of even digits:

The even digits are 2 and 4. Therefore, the total number of even digits is 2.

Step 3: Find the number of ways to choose the last digit as even:

As the number has to be even, the last digit must be either 2 or 4. Therefore, the number of ways to choose the last digit as even is 2.

Step 4: Find the number of ways to choose the first 4 digits:

As we have already chosen the last digit, we need to choose the first 4 digits. As repetition is allowed, we can choose any of the given digits. Therefore, the number of ways to choose the first 4 digits is 5 x 5 x 5 x 5 = 625.

Step 5: Find the total number of ways:

Using the multiplication principle, we can find the total number of ways as the product of the number of ways in steps 3 and 4. Therefore, the total number of 5 digit even numbers that can be formed using the digits 1,2,5,5,4 is 2 x 625 = 1250.

Conclusion:

Thus, there are 1250 5 digit even numbers that can be formed using the digits 1,2,5,5,4.
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How many 5 digit even number can be formed using the digits 1,2,5,5,4?
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How many 5 digit even number can be formed using the digits 1,2,5,5,4? 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 How many 5 digit even number can be formed using the digits 1,2,5,5,4? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many 5 digit even number can be formed using the digits 1,2,5,5,4?.
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