The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where no digit is repeated is
Question and options
The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where no digit is repeated is
- 276
- 180
- 120
- 240
Answer and explanation
Correct answer: A - 276
The last digit must be 5. 4-digit: first digit from {7,8,9} (3 ways), middle digits 4*3 = 12 ways, giving 36. 5-digit: 5P4 = 120. 6-digit: 5! = 120. Total 276.
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IPMAT Indore
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