IBM
Company
Numerical Ability
Permutation and Combination
How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
Option
1) 720
2) 360
3) 1420
4) 1680
Read Solution (Total 11)
-
- 6 digit number where first 2 digit are fixed .
1*1*8*7*6*5 =1680 - 9 years agoHelpfull: Yes(33) No(0)
- here first two digits are fixes the rest 4 digits have to be selected from 8 digits so 8p4 = 8!/(8-4)!=1680
- 9 years agoHelpfull: Yes(9) No(0)
- out of 6 digits 2 digits are fixed then 4 place are there and we have remaining letters are 1,2,4,6,7,8,9,0
therfore the total digits are 8 then 8p4=8!/[8-4]!=8!/4!=1680 - 9 years agoHelpfull: Yes(9) No(0)
- ans -1680
first n second place will be 3 n 5 den next 4 digits will be frm 0-7
thus 1*1*8*7*6*5=1680 - 9 years agoHelpfull: Yes(2) No(0)
- 35----
1*1*8*7*6*5=1680 - 9 years agoHelpfull: Yes(2) No(0)
- 8*7*6*5=1680
- 9 years agoHelpfull: Yes(2) No(0)
- as 3 and 5 are fixed so ans wilb for 3 rd place 8 ways , for 4 place 7 ways for 5th place 6 ways and for 6th place 5 ways so 8*7*6*5=1680
- 9 years agoHelpfull: Yes(1) No(1)
- Answer is 360. As it is a permutation problem,the order matters,
Hence, n be 6 and r be the possibilities.
nPr = (n!)/(n-r)! =6!/(6-4)! =360 - 9 years agoHelpfull: Yes(0) No(8)
- 6 digit number in which 3 and 5 are fixed
35----
so we have only 4 places to fill
but no digit repeated so the 3rd place will be filled by 8 ways becoz 3 and 5 are filled already
4th is filled by 7 ways and so on
35----
35 8*7*6*5
1680 ans - 8 years agoHelpfull: Yes(0) No(0)
- - - - - - -
6 5 4!=720 - 8 years agoHelpfull: Yes(0) No(4)
- 3*5*6*7*8*9=1680
- 6 years agoHelpfull: Yes(0) No(0)
IBM Other Question