Elitmus
Exam
Numerical Ability
Permutation and Combination
how many 3 digit no.s can be formed so that the sum of two digits will be equal to the third digit?????
Read Solution (Total 28)
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- Correction to My Last Answer
You Can have These possible cases:
112
224
336
448
These four can be arranged in 12 ways (each in 3 ways) Right.
Also
123
134
145
156
167
178
189
235
246
257
268
279
347
358
369
Also You can Have 101,202 Upto 909. & These 9 numbers can be written in 2 ways each so total 18 ways
459
These 16 can be arranged in 96 ways (each in 6 ways).
So Total No.s will be 96+12+18=126 Ans. - 10 years agoHelpfull: Yes(41) No(1)
- 66 is the rght ans.
- 10 years agoHelpfull: Yes(9) No(9)
- possible combinations and their arrangements are
(1,1,0)=2, (2,2,0)=2, (2,1,1)=3, (3,3,0)=2, (3,2,1)=6, (4,4,0)=2, (4,3,1)=6, (4,2,2)=3,
(5,5,0)=2, (5,4,1)=6 (5,3,2)=6, (6,6,0)=2 (6,5,1)=6 (6,4,2)=6 (6,33)=3
( 7,7,0)=2 (7,6,1)=6 (7,5,2)= 6 (7,4,3)=6 (8,8,0)=2 (8,7,1)=6 (8,6,2)=6 (8,5,3)=6
(8,4,4)=3 (9,9,0)=2 (9,8,1)= 6 (9,7,2)=6 (9,6,3)=6 (9,5,4)=6
so, total number possible = 16*6 + 4*3 + 9*2= 126 -------ans - 10 years agoHelpfull: Yes(6) No(1)
- 101,202..909.. total=9
112,224,336,448, ways to arrange each=3, total=3*4=12
123,134,145...189, ways to arrange 3!, total=3!*7=42
similarly
235,246...279, total=3!*5=30
347,358,369, total=3!*3=18
459-3!=6
total=117 - 10 years agoHelpfull: Yes(5) No(4)
- 45 is correct answer because 1st 2 digit equals to the third digits
- 10 years agoHelpfull: Yes(4) No(2)
- Mudit bhai kya answer tick kiya hai
mera 78 aa rha hai.... - 10 years agoHelpfull: Yes(3) No(1)
- Ans must be 72.
check from 100 to 999. - 10 years agoHelpfull: Yes(2) No(0)
- 126 is the correct answer.... 9*2+4*(3!/2!)+16*6=126
- 9 years agoHelpfull: Yes(2) No(0)
- The answer will be 78
- 10 years agoHelpfull: Yes(1) No(1)
- You Can have These possible cases:
112
224
336
448
These four can be arranged in 12 ways (each in 3 ways) Right.
Also
123
134
145
156
167
178
189
235
246
257
268
279
347
358
369
459
These 16 can be arranged in 96 ways (each in 6 ways).
So Total No.s will be 96+12=108 Ans. - 10 years agoHelpfull: Yes(1) No(2)
- frns.......what is the correct ans.....??????
- 9 years agoHelpfull: Yes(1) No(0)
- 3 Digit no. will start from 100-999
100-199: 1st place is for 1,second could be any of 0,1,2,3,4,5,6,7,8, 3rd could be 1,2,3,4,5,6,7,8,9=1*9*9 cases.=81
200-299:2nd place is for 2,second could be any of 0,1,2,3,4,5,6,7, 3rd could be 2,3,4,5,6,7,8,9=1*8*8 cases.=64
300-399:2nd place is for 3,second could be any of 0,1,2,3,4,5,6 3rd could be 3,4,5,6,7,8,9=1*7*7 cases.=49
400-499:2nd place is for 4,second could be any of 0,1,2,3,4,5, 3rd could be 4,5,6,7,8,9=1*6*6 cases.=36
500-599:2nd place is for 5,second could be any of 0,1,2,3,4, 3rd could be 5,6,7,8,9=1*5*5 cases.=25
600-699:2nd place is for 6,second could be any of 0,1,2,3, 3rd could be 6,7,8,9=1*4*4 cases.=16
700-799:2nd place is for 7,second could be any of 0,1,2 3rd could be 7,8,9=1*3*3 cases.=9
800-899:2nd place is for 8,second could be any of 0,1,rd could be 8,9=1*2*2 cases.=4
900-999:2nd place is for 9,second will be 0 3rd will be,9=1*1*1 cases.=1
Total will be 81+64+49+36+25+16+9+4+1=285. - 9 years agoHelpfull: Yes(1) No(1)
- 8+7+.....+1=36
- 9 years agoHelpfull: Yes(1) No(1)
- @gautam raj- 78 to ans hi ni tha chcha..... :P
- 10 years agoHelpfull: Yes(0) No(0)
- 54 answer
- 10 years agoHelpfull: Yes(0) No(2)
- my answer is 35...
- 10 years agoHelpfull: Yes(0) No(1)
- 102 is the ans
- 9 years agoHelpfull: Yes(0) No(1)
- 0 combination like 10,20----are 9 numbers
1 combination like 11,12,13,----1,8 are 15 numbers
2 combination like 22,23,----27 are 9 numbers
3 combination like 33,34---36 are 7 numbers
4 combination like 44,45 --54 are 3 numbers
3+7+9+15+9=43 is ans - 9 years agoHelpfull: Yes(0) No(1)
- for 1st place we have 9 way
for 2nd place we have 10 way
and for 3rd place we have 8! way
so total numbers=9*10*8! - 9 years agoHelpfull: Yes(0) No(0)
- Ans is 45
- 9 years agoHelpfull: Yes(0) No(0)
- 126 explain
- 9 years agoHelpfull: Yes(0) No(0)
- Its 126 . I have written simple program for this . hope it will help you. Execute the following code.
#include
void main()
{
int n=100,x,i,j,k,c=0;
while(n - 9 years agoHelpfull: Yes(0) No(3)
- @Rahul Midha and Mithun kumar kesari... bros.... Your answer is perfect.. i.e 126.
- 9 years agoHelpfull: Yes(0) No(2)
- 126 is the correct ans
- 9 years agoHelpfull: Yes(0) No(1)
- 45 is the correct answer..
- 9 years agoHelpfull: Yes(0) No(2)
- 1+0=1 2+0=2 ........... similarly 9+0=9
1+1=2 2+1=3
1+2=3 2+2=4
.
.
.
. 2+7=9
.1+8=9
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 34 is ri8 answer...
- 9 years agoHelpfull: Yes(0) No(0)
- the ans is 271
- 9 years agoHelpfull: Yes(0) No(0)
- answer will be 126
- 9 years agoHelpfull: Yes(0) No(1)
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