what will be the sum of adding all the possible four digit number formed by 7, 9, 1, 3 using each of the digits only once ?
a. 133220
b. 122320
c. 133230
d. 133320
( Hint :- each of the given digits will occur 6 times in the units place and there will be 4 groups of 6 numbers each. )
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Answers
Answered by
97
Four digit numbers =4⋅3⋅2⋅1=24 ways we can form a four digit number. Since it's a 4 digit number, each digit will appear 6=24/4 times in each of units, tens, hundreds, and thousands place. Therefore, the sum of digits in the units place is 6(7+9+1+3)=120.
Similarly sum of digits at tens,hundreds,thousands place is 120
Required sum of all numbers =120+120⋅10+120⋅100+120⋅1000=133320
Therefore answer is : C. 133320
Hope this helps
Answered by
3
Answer:
and is 133320
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