How many numbers lying between 1000 and 10000 can be formed by using the digits 1, 3, 5, 6, 7, 8, 9, no digits being repeated?

940

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640

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840

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740

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None of these

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Solution

The correct option is C 840
A number lying between 1000 and 10000 has four places which can be filled up of 7 digits in $^{7} P_{4} = 7 \times 6 \times 5 \times 4 = 840 w a y s .$

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