Find out the sum of all numbers greater than 10,000 formed by using the digits 1, 3, 5, 7, 9 , no digit being repeated in any number.
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Answered by
9
Answer:
6666600
Step-by-step explanation:
In a five digit-number, the first place can be filled in 1 way. then the remaining places will be filled by 4 numbers in 4! = 24 ways.
Given that the digits are not repeated.
So, the sum of digit in each position = 24(1 + 3 + 5 + 7 + 9)
= 24(25)
= 600.
As we know that In a five digit number, the first column represents 10000, the 2nd column represents 1000, 3rd column is 100 etc.
The sum of all such numbers will be:
= 600(1 + 10 + 100 + 1000 + 10000)
= 600(11111)
= 6666600
Hope it helps!
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