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JorgeG
A license plate is identified by a string of two letters followed by five numbers. If each license plate is distinct, find the number of possible license plates. Answer 39,917,124 9,828,000 67,600,000 19,656,000
Is repetition of digits and alphabets allowed?
only repettiton of digits only 8 digits to be sure..
Circles = space for letters Square = space for digits Numbers = no. of ways|dw:1352605436090:dw|
@Study23 I need help with my question...
you have 7 positions . first two for alphabets right ,since each plates are different you have to solve this problem as for a non repetitive case .. are you OK this far
\(\ \large \text{ This is a problem involving permuations...} \) \(\ \large \text{So the first two places of the plate are letters.There are 26 letters.}\) \(\ \large \text{So the first place could have} \frac{1}{26} \text{letters}\).
So there are a possible 26 letters for the first digit, right?
Are you allowed to repeat the same number/letter?
Yes 26 letters for the first digit and yes allowed to repeat same number
is the answer 67600000 ?
For the letters, You can have 26^2 = 676 ways of arranging. For numbers, You can have 10^5 = 10000 ways Multiply them and you get 676 00000