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 _____
Text Solution
Verified by Experts1436
(1436)
No of 5 digit numbers starting with digit 1
No of 5 digit numbers starting with digit 2
No of 5 digit numbers starting with 31
No of 5 digit numbers starting with 32
No of 5 digit numbers starting with 33
No of 5 digit numbers starting with 351
No of 5 digit numbers starting with 352
No of 5 digit numbers starting with 3531
No of 5 digit numbers starting with 35321
Before 35337 will be 4 numbers
So rank of 35337 will be 1690
So, in descending order serial number will be
3125-1690+1=1436
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