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.