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in the decimal system of numeration the number of 6-digit number in which the digit in any place is greater than the digit to the left of it is

in the decimal system of numeration the number of 6-digit number in which the digit in any place is greater than the digit to the left of it is


 

Grade:12

2 Answers

Pratik Tibrewal
askIITians Faculty 37 Points
10 years ago
total number : 9*8*7*6*5*4 as we want one of the arrangement of a single selection in which the digits are arranged in particular order. Hence, if we divide the total ways by 6!, we will get the desired result hence ans is (9.8.7.6.5.4)/6! Thanks and Regards, Pratik Tibrewal askiitians faculty BTech IITG
Shubham
15 Points
5 years ago
We have to choose any of the six numbers from 1,2,3,4,5,6,7,8,9 to satisfy the given condition. Zero is not included because it does not satisy the comdition in any place. Therefore the required numbers are 9C6. ​        Thank you.

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