Grade 11Algebra
no of 5 digit number that can be formed from 1,2,3,4,5,6,7,8,9 such that the digits are in ascending order
no of 5 digit number that can be formed from 1,2,3,4,5,6,7,8,9 such that the digits are in ascending order
1 Answer
Vikas TU
Given numbers from which 5 digit numbers are to be generated are 1,2,3,4,5,6,7,8,9
Taking 1 as fixed the number of 5 digit numbers that can be generated in ascending order are
8c4
Taking 2 as fixed the number of 5 digit numbers that can be generated in ascending order are
7c4
Similarly if 3,4,5 as fixed number then the number of 5 digit numbers that can be generated in ascending order are 6c4 , 5c4 , 4c4.
Required number of 5 digit numbers that can be generated in ascending order are
8c4 +7c4 +6c4 +5c4 + 4c4
= 70 + 35 + 15 + 1
= 121.
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