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Help with statistics counting method?
In a certain state, license plates consist of three letters followed by three numbers.
a. How many different license plates can be made?
I think I got this part correctly. For this I did 26*26*26*10*10*10 = 17,576,000 because it's 26 letters and 10 digits.
b. How many different license plates can be made in which no letter or number appears more than once?
c. A license plate is chosen at random. What is the probability that no letter or number appears more than once?
2 Answers
- 9 years agoFavourite answer
Your answer to part a is correct.
Now use a similar argument for part b:
In the first letter position you can put 26 letters. If the letter in the second position has to be different than the letter in the first position, how many choices are there for this second letter? Likewise for the third letter and then repeat the process for the numbers.
Part c
P(no letter or number appears more than once) = number of license plates that no letter or number appears more than once / total number of possible license plates
- ?Lv 45 years ago
Dont trust too much on what IMF says, they failed to predict the collapse of US economy and IMF itself is on the verge of bankruptcy.As there are no countries asking for loans from IMF, IMF has no incomes. IMF is in trouble to pay its payroll, it even thougth to sell its gold reserves.