Question

License plate numbers In a certain state, automobile license
plates start with one letter of the alphabet, followed
by five digits(0,1....9) . Find how many different license
plates are possible if
(a) the first digit following the letter cannot be 0
(b) the first letter cannot be O or I and the first digit cannot
be

Answer 1

(b) the first letter cannot be O or I and the first digit cannot
be 0

Answer 2

@bibby

Answer 3

(a) the first digit following the letter cannot be 0
that means
there are 26 possibilities in the first thing, 9 in the second, and 10 for the rest. multiply it out

Answer 4

is this a combination c(n,k) = n!/(n-k)!k! how do i plug the values

Answer 5

I don't think it's combinations. It's just simple probability so just multiplication

Answer 6

well i don't know then how you get the answers

Answer 7

ok, picture a generic license plate.

Answer 8

I'm lost with this one , cause I'm not good on probability at all

Answer 9

the thing on the bottom represents the possibilities, the thing on top is the number of possibilities

just multiply across

Answer 10

for the first one would be : 26 (letters) * 9(numbers)* 9 to the 4th power ?

Answer 11

times 10 to the fourth

remember that you can't have 0 in the first digit

Answer 12

im sorry the last 10 to the 4 th

Answer 13

oh now i totally get it

Answer 14

well i was confused cause the combination forlmula

Answer 15

the combinations are used when you have to choose. That's a terrible explanation but google will serve you better.

Answer 16

2. 26-2( T letters - I and O) * 9 ( T digits - digit 0) * 10 to the 4th ( the other possible digits withouth restrction)

Answer 17

well i don't know about that but you have been very helpfull

Answer 18

Thanks a lot @bibby ;)

Answer 19

that's correct (b)

Answer 20

Thanks .)