Q. |
How many even numbers with distinct digits greater than 500 can be formed from the digits 3, 4, 5, 6, and 7? |
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A. 48 |
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B. 57 |
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C. 96 |
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D. 111 |
Even numbers greater than 500 to be formed with the digits 3, 4, 5, 6 and 7.
3 digit numbers :
Keeping 4 in units place : 3 × 3 × 1 =9 (5,6 and 7 in the Hundreds place)
Keeping 6 in units place: 2 × 3 × 1 =6 (5 & 7 in the Hundreds place)
4 digit numbers :
Keeping 4 or 6 in units place : 4 × 3 × 2 × 2 = 48
5 digit numbers :
Keeping 4 or 6 in units place: 4 × 3 × 2 × 1 × 2 = 48
Total numbers = 9 + 6 + 48 + 48 = 111