1)How many license plates are there if they start with three capital letters followed by 4...

1)How many license plates are there if they start with three capital letters followed by 4 digits from 0 to 9. (Note that letters and digits can be repeated?

2)In how many ways can 5 men and 5 women be arranged in a line if the line starts with a man, and the men and women alternate?

Expert Solution

Colby Messinger answered 2 years ago

1) A set of license plates has four letters followed by 4 digits. (a) In how...

1) A set of license plates has four letters followed by 4 digits. (a) In how many ways can a license plate be made with four letters followed by 4 digits? (Letters or digits may be repeated.) (b) In how many ways can a license plate be made with four different letters followed by 4 different digits? (c) If a license plate is made with four letters followed by 4 digits, what is the probability that it has no repeated...

An automobile license plate consists of 3 letters followed by 4 digits. How many different plates...

An automobile license plate consists of 3 letters followed by 4 digits. How many different plates can be made: a. If repetitions are allowed? b. If repetitions are not allowed in the letters but are allowed in the digits? c. If repetitions are allowed in the letters but not in the digits?

How many: New York license plates can be made that consist of 3 letters followed by...

How many: New York license plates can be made that consist of 3 letters followed by 4 numbers given the restriction that if the first letter is an ‘N’, then the second letter must be a ‘Y’? New York license plates can be made that consist of 3 letters followed by 4 numbers given the restrictions that (1) if the first letter is an ‘N’, then the second letter must be a ‘Y’ and (2) if the second letter is...

How many possible license plates can be manufactured if a license plate consists of three letters...

How many possible license plates can be manufactured if a license plate consists of three letters followed by three digits and (a) the digits must be distinct, the letters can be arbitrary? (b) the letters must be distinct; the digits can be arbitrary? (c) The digits and the letters must be distinct.

License plates in a given state must consist of three letters followed by four digits. The state's...

License plates in a given state must consist of three letters followed by four digits. The state's DMV has determined that there are eighteen three-letter words that cannot appear on license plates, and there are five four-digit numbers that cannot appear. How many license plates are banned? Your answer may be given as an integer, or as a formula. Either is acceptable.

A licence plate consists of seven symbols: digits or letters. How many license plates are there...

A licence plate consists of seven symbols: digits or letters. How many license plates are there if the following is true: (a) there must be three letters and four digits, and symbols may repeat? (b) no restrictions on the quantity of letters and numbers, and symbols may repeat?

If a license plate consists of two letters followed by four digits, how many different licenses...

If a license plate consists of two letters followed by four digits, how many different licenses could be created having at least one letter or digit repeated.

A swedish license plate consists of three letters followed by three digits. Find the probability that...

A swedish license plate consists of three letters followed by three digits. Find the probability that a randomly selected plate has a) no duplicate letters b) no duplicate digits c) all letters the same d) only odd digits e) no duplicate letters and all digits equal

Suppose each license plate in a certain state has one digit followed by four letters, followed...

Suppose each license plate in a certain state has one digit followed by four letters, followed by one digit. The letters f,o,s, and x and the digit 0 are not used. So there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?

In a certain country license plates consist of zero or one digit followed by four or...

In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet. (a) How many different license plates can the country produce? (b) How many license plates have no repeated letter? (c) How many license plates have at least one repeated letter? (d) What is the probability that a license plate has a repeated letter? (Round your answer to the nearest whole percent.) %

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