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Question

How many numbers greater than 24,000 can be formed by using digits 1, 2, 3, 4, 5 when no digit is repeated

A
36
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B
60
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C
84
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D
120
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Solution

The correct option is B 84
The digits are 1, 2, 3, 4, 5. We have to form number greater than 24000. Required number will be = (Total) - (Those beginning with 1) - (Those beginning with 21) - (Those beginning with 23)

5!4!3!3!=1202466

Hence the numbers greater than 24,000 that can be formed here = 84

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