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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Permutation & combination
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hardcore_genius (167)

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What will be the sum of all 5 digit no. that can be formed using the digits 1,2,3,4,5 when repetition of digits is not allowed???
    
sachin_gupta1991 (69)

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There will be 120 numbers.
On ones digit place(when all numbers are listed for addition) ,
 there will be 24 5's , 24 4's, 24 3's , 24 2's, 24 1's .
There sum will be 24(15)=360
Now, this will repeat for ten's place too and further...
 
                   No.s
                    No.s
                    No.s
                   No.s
                      .       
                      .
                      .
                      .
             -------------------------
Sum            3999960  
As u know , the sum of digits at every place (360), u can carry 36 to the next place and find the sum by normal addition.
 
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