In a certain stale, all license plain consist of from lour to six symbols chosen irom the 2b uppercase letters of the Roman alphabet together with (he ten digits 0-9.
a. How many license plates are possible if repetition of symbols is allowed?
b. How many license plates do not contain any repealed sy mhols?
C. How many license plates have at least one repeated symbol?
d- What is the probabilility that a license plate chosen at random has at least one repealed symnbol?
The total number of license plates with four to five digits including repetitions out of letters and digits.
A license plate of this state contains only four to five digits from roman uppercase letters and digits from to .
If we have to select number of digits from number of digits with repetitions,
Let’s consider the count of license plates with four digits.
With formula above, we can observe that .
Also, for the five digits in the license plat
The number of license plates do not contain any repetitions.
The count of license plates that have at least one repeated symbol.
The probability of choosing a random license plate that has at least one repetition.
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