tasmanian automobile licence plates consist of three capital letters (a through z) followed by three digits (0 through 9). how many different tasmanian license plates are possible?



Answer :

tasmanian license plates are 8,000,000 combinations possible

In probability, what do combination and permutation mean?

Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant. Permutations: The sequence of events matters.

If an event is made up of numerous other events (i.e., when it is a list), we may calculate the probability that it will occur with the help of permutations and combinations. If the sequence of the events doesn't matter, we have a combination; if it does, we have a permutation. A permutation can be defined as an ordered combination.

An ordered combination is what is meant by a permutation.

The number of permutations of n objects, taken r at a time, is calculated using the formula below:

P(n,r)=n!(n-r)!

The following formula calculates the number of combinations of n objects taken r at a time: C(n,r)=n!/(n-r)!r!

there are 26^3 combinations of letters. And 10^3 combinations of numbers.

So the total combinations is 26^3 x 10^3 = 17,576,000

Many license plates don’t allow vowels a,e,i,o,u,and y which would accidentally form some awkward words…

Then you’d have 20^3 x 10^3 = 8,000,000 combinations.

Learn more about combinations

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