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The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these?
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The number of even numbers greater than 300 can be formed with the dig...
Solution:
Explanation:
In order to form even numbers, the last digit must be 2 or 4. If it is 2, the first digit can be any of the remaining four digits and the second digit can be any of the remaining three digits. If it is 4, the first digit can be any of the remaining three digits and the second digit can be any of the remaining three digits. 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:
Number of even numbers ending in 2: 4 × 3 = 12
Number of even numbers ending in 4: 3 × 3 = 9
Total number of even numbers: 12 + 9 = 21
However, we need to exclude the even numbers that are less than 300. The largest even number that can be formed with these digits is 542. Therefore, the number of even numbers greater than 300 that can be formed with the digits 1, 2, 3, 4, 5 without repetition is:
Number of even numbers between 300 and 400: 1 × 3 × 2 = 6
Number of even numbers between 400 and 500: 1 × 2 × 2 = 4
Total number of even numbers greater than 300: 6 + 4 = 10
Therefore, the correct answer is (d) none of these.
Explanation:
In order to form even numbers, the last digit must be 2 or 4. If it is 2, the first digit can be any of the remaining four digits and the second digit can be any of the remaining three digits. If it is 4, the first digit can be any of the remaining three digits and the second digit can be any of the remaining three digits. 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:
Number of even numbers ending in 2: 4 × 3 = 12
Number of even numbers ending in 4: 3 × 3 = 9
Total number of even numbers: 12 + 9 = 21
However, we need to exclude the even numbers that are less than 300. The largest even number that can be formed with these digits is 542. Therefore, the number of even numbers greater than 300 that can be formed with the digits 1, 2, 3, 4, 5 without repetition is:
Number of even numbers between 300 and 400: 1 × 3 × 2 = 6
Number of even numbers between 400 and 500: 1 × 2 × 2 = 4
Total number of even numbers greater than 300: 6 + 4 = 10
Therefore, the correct answer is (d) none of these.
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The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these?
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The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these? 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, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these? 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, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these?.
The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these? 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, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these? 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, 5 without repetion is (a) 110 (b) 112 (c) 111 (d) none of these?.
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