TCS
Company
Numerical Ability
Permutation and Combination
a number plate can be formed with two alphabets followed by two digits with no repetition. then how many possible combinations can we get?
Read Solution (Total 18)
-
- 26*25*10*9
- 9 years agoHelpfull: Yes(36) No(4)
- no.of alphabets=26 (a-z), no.of digits=10(0-9).
ways of arranging two alphabets with out repetition=26*25;
ways of forming two digits without repetition=10*9
no.of combinations of forming the number on number plate= 26*25*10*9=58500 - 9 years agoHelpfull: Yes(24) No(1)
- 26*25*10*9
- 9 years agoHelpfull: Yes(5) No(4)
- 26 *25*10*9
26-leters
25-remaing leter
10-digits
9-remaining digit - 9 years agoHelpfull: Yes(5) No(1)
- 26c2*10c2*4
- 9 years agoHelpfull: Yes(4) No(3)
- 26c2*10c2*2!*2!
- 9 years agoHelpfull: Yes(3) No(1)
- two digits -> digits from 00 to 99. so 100 digits.
two alphabets -> first alphabet may any of 26, second may any of 26.
so totally, 26*26*100=67600 possbilities. - 9 years agoHelpfull: Yes(2) No(16)
- 26P2 ways for selecting and arranging two alphabets without repetition i.e. 26 * 25
10P9 ways for selecting and arranging two digits without repetition i.e. 10 * 9
So total no. of combinations without repetition on the number plate is 26 * 25 * 10 * 9 = 58500 - 8 years agoHelpfull: Yes(2) No(0)
- 26c2*10c2*2!=29250
- 9 years agoHelpfull: Yes(1) No(13)
- 26*25*10*9 as it was mentioned without repetition
- 9 years agoHelpfull: Yes(1) No(0)
- options are:-
a.58500
b. 67600
c. 65000
d. 64320
so answer is 26*25 * 10*9=58500 - 7 years agoHelpfull: Yes(1) No(0)
- 26c2*10C2=58500
- 6 years agoHelpfull: Yes(1) No(0)
- 26C2*10C2*2!
- 9 years agoHelpfull: Yes(0) No(1)
- we have - - - -
let we go with alphabets totally 26 and we want to fill it with two alphabets, so 26c2
now let go with number start from 0 to 9 totally 10 words, so 10c2
and the total - - - -(Space is 4)
so the final equation formed is 26c2*10c2*4 .
- 9 years agoHelpfull: Yes(0) No(2)
- (26c2*10c2)/36c4
- 9 years agoHelpfull: Yes(0) No(3)
- 26*25*10*9=58500
- 5 years agoHelpfull: Yes(0) No(0)
- 26C2*10C2=14625
- 5 years agoHelpfull: Yes(0) No(0)
- 26*25
10*9
n0 = 650+90=740 - 2 years agoHelpfull: Yes(0) No(0)
TCS Other Question