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The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is?
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Problem: Find the number of even numbers greater than 300 that can be formed with the digits 1,2,3,4,5 without repetition.
Solution:
To form an even number, the last digit must be even. So, we can choose any of the even digits i.e. 2 or 4.
Now, we need to find the number of ways we can arrange the remaining three digits i.e. 1, 3, and 5.
Number of ways to choose the last digit = 2
Number of ways to choose the first digit = 3 (since we cannot use 0 or the last digit)
Number of ways to choose the second digit = 3 (since we have used one digit already)
Number of ways to choose the third digit = 2 (since we have used two digits already)
Total number of ways to arrange the three remaining digits = 3 x 3 x 2 = 18
Therefore, the total number of even numbers greater than 300 that can be formed with the digits 1, 2, 3, 4, 5 without repetition is:
2 x 18 = 36
Hence, there are 36 even numbers greater than 300 that can be formed with the given digits.
Solution:
To form an even number, the last digit must be even. So, we can choose any of the even digits i.e. 2 or 4.
Now, we need to find the number of ways we can arrange the remaining three digits i.e. 1, 3, and 5.
Number of ways to choose the last digit = 2
Number of ways to choose the first digit = 3 (since we cannot use 0 or the last digit)
Number of ways to choose the second digit = 3 (since we have used one digit already)
Number of ways to choose the third digit = 2 (since we have used two digits already)
Total number of ways to arrange the three remaining digits = 3 x 3 x 2 = 18
Therefore, the total number of even numbers greater than 300 that can be formed with the digits 1, 2, 3, 4, 5 without repetition is:
2 x 18 = 36
Hence, there are 36 even numbers greater than 300 that can be formed with the given digits.
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The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is?
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The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is? 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 even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is?.
The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is? 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 even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of even numbers greater than 300 can be formed with the digits 1,2,3,4,5without repetation is?.
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