What will be the sum of adding all the possible four - digit numbers formed by 7, 9, 1, 3 using each of the digits only once?
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Please find below the solution to the asked query:
We can have four digit number from 7 , 9 , 1 and 3 are :
7913 , 7931 , 7391 , 7319 , 7139 , 7193
And
9713 , 9731 , 9371 , 9317 , 9137 , 9173
And
1973 , 1937 , 1397 , 1379 , 1739 , 1793
And
3917 , 3971 , 3791 , 3719 , 3179 , 3197
Then , Sum of all these numbers :
7913 + 7931 + 7391 + 7319 + 7139 + 7193 + 9713 + 9731 + 9371 + 9317 + 9137 + 9173 + 1973 + 1937 + 1397 + 1379 + 1739 + 1793 + 3917 + 3971 + 3791 + 3719 + 3179 + 3197 = 133320 ( Ans )
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Please find below the solution to the asked query:
We can have four digit number from 7 , 9 , 1 and 3 are :
7913 , 7931 , 7391 , 7319 , 7139 , 7193
And
9713 , 9731 , 9371 , 9317 , 9137 , 9173
And
1973 , 1937 , 1397 , 1379 , 1739 , 1793
And
3917 , 3971 , 3791 , 3719 , 3179 , 3197
Then , Sum of all these numbers :
7913 + 7931 + 7391 + 7319 + 7139 + 7193 + 9713 + 9731 + 9371 + 9317 + 9137 + 9173 + 1973 + 1937 + 1397 + 1379 + 1739 + 1793 + 3917 + 3971 + 3791 + 3719 + 3179 + 3197 = 133320 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards