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Numerical Ability
Permutation and Combination
using the digits 1,5,2,8,four digit numbers are formed and sum of all possible four digit numbers are?
Read Solution (Total 9)
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- the no of four digits numbers that can b formed =4!=24
1528,1582,1852,1825,1258,1285....so by tis we can observe each no wil appear 6 times in unit place,6 times in 10s place and so on....(1*6)+(5*6)+(2*6)+(8*6)=96 ...so 96*1+96*10+96*100+96*1000=106656 - 12 years agoHelpfull: Yes(134) No(3)
- 4 digits so 1111
and 4 digits so (4-1)!
and sum of given digits=16
so the answer is (1111) * (3!) * (16) = 106656
general formula is
if n digits are there: (n-1)! * (1111..n times) *(sum of given digits) - 11 years agoHelpfull: Yes(30) No(1)
- 1258
1285
1528
1582
1825
1852
2158
2185
2518
2581
2815
2851
5128
5182
5218
5281
5812
5821
8125
8152
8215
8251
8512
8521
sum of all possible 4 digit numbers = 106656 - 12 years agoHelpfull: Yes(12) No(11)
- There are 24 numbers and the sum is 106,656.
1258
1285
1528
1582
1825
1852
2158
2185
2518
2581
2815
2851
5128
5182
5218
5281
5812
5821
8125
8152
8215
8251
8512
8521 - 12 years agoHelpfull: Yes(1) No(8)
- (1+5+2+8)*(4-1)!*(10^4-1)/(10-1)=106656 its the short cut method
- 10 years agoHelpfull: Yes(1) No(2)
- THERE IS A EASIEST WAY : 1,5,2,8
so,totally 4 digits =4! =24
and there are also 4 numbers now 24/4=6
1*6=6
5*6=30
2*6=12
8*6=48
so total it 6+30+12+48==96
so now the sum of all possible ways are 1 5 2 8
1 5 2 8
......................
so till 24 times u should repeat 1 0 6 6 6 5 6 just put that 96 9 will be the carry then
add that 9 with 96 =9+96=105
5 will be placed down and 10 will be the carry
now do 10+96==106 6 will be placed and 10
will be carry again do 10+96 == 106 and same
as etc........
THIS IS APPLICABLE FOR ALL KINDS OF SUMS LIKE THIS. - 5 years agoHelpfull: Yes(1) No(1)
- 1528+5128+2158+8152+5281+2581+2851+8251+5218+2518+2815+8215+5821+8521+2185+8125=79348
- 12 years agoHelpfull: Yes(0) No(18)
- this is lengthy so easy way is fix one no in msb like 1 and remaining nos should be in 3! ways so as with remaining nos the total arrange ment will be 24 and the sum will be 106656
- 10 years agoHelpfull: Yes(0) No(4)
- possible four digits numbers are 1258,1285,1528,1582,.......8521
sum of the possible four digit numbers are 120681 - 8 years agoHelpfull: Yes(0) No(1)
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