How many numbers between $10$ and $10, 000$ can be formed by using the digits $1, 2, 3, 4, 5$ if no digit is repeated in any number.

100

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200

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10

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20

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Solution

The correct option is A $200$
Number of two digit numbers $= 5 \times 4 = 20$
Number of three digit numbers $= 5 \times 4 \times 3 = 60$
Number of four digit numbers $= 5 \times 4 \times 3 \times 2 = 120$
Total $= 200$

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