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Q.

Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial numbers. For example, the number 77777 has serial number 1. Then the serial number of 35337 is _____.

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answer is 1436.

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Detailed Solution

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$\begin{aligned} 7 \times \times \times \times = 5^{4} \\ 5 \times \times \times \times = 5^{4} \\ 37 \times \times \times = 5^{3} \\ 357 \times \times = 5^{2} \\ 355 \times \times = 5^{2} \\ 3537 \times = 5 \\ 3535 \times = 5 \\ 35337 = 1 \\ \bar{1436} \end{aligned}$

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Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial numbers. For example, the number 77777 has serial number 1. Then the serial number of 35337 is _____.