Mathematics, 12.08.2019 19:10 boo3972

The license plates on all karts in marioland contain three numbers followed by three letters. if you know that the marioland number system has 5 digits and the letter system has 3 letters, how many license plates can be created that have at least one three-piece palindrome?

Answers: 1

Show answers

Answers

Answer from: thompsonjodi9638

1575 license plates with at least one three piece palindrome

Step-by-step explanation:

Fon know the number of license plates that have at least one three piece palindrome is necessary to identify the following cases:

There is palindrome in the 3 numbers and not in the 3 letters of the license plate: A three piece palindrome happens when the first and the last number is the same. So we can calculate the number of ways in which this can happen using the rule of multiplication as:

__5__ _*__5___* __1___* __3___ * __3___* __2___ = 450

1st number 2nd 3rd 1st letter 2nd 3rd

The MarioLand number system has 5 digits so the are 5 options for the first and second number, then if we want a palindrome, the 3rd number has to be the same of the first so the 3rd number just have one option.

Additionally, the MarioLand letter system has 3 letters, so we have 3 options for first and second number but we don't want a palindrome in the letters, so the 3rd letter need to be a number different of the first, that means that it has 2 options.

At the same way we calculate the number of possibilities in the following cases:

There is palindrome in the 3 letters and not in the 3 numbers of the license plate: There are 900 different ways that apply for this case, this is calculate as:

__5__ _*__5___* __4___* __3___ * __3___* __1___ = 900

1st number 2nd 3rd 1st letter 2nd 3rd

There is palindrome in the 3 letters and in the 3 numbers of the license plate: There are 225 different ways that apply for this case, this is calculate as:

__5__ _*__5___* __1___* __3___ * __3___* __1___ = 225

1st number 2nd 3rd 1st letter 2nd 3rd

Finally the total number of license plate that can be created with at least one three piece palindrome is the sum of the possibilities of the three cases:

450+900+225=1575

Answer from: Quest

Idon't know that language
Alguien que me ayude por favor ! urgente

Answer from: Quest

yes. we do proportions in probabilities.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Triangle jkl was dilated using the rule dm, 1/3 the image, triangle j’ k’ l’ is the result of the dilation. a.5 units b.7.5 units c.10 units d.12.5 units

Answers: 2

Answer

Mathematics, 21.06.2019 16:10

A) if $50000 is invested in a bank account that pays 9.3% of interest compounded on a six-monthly basis, how much money will be in the account after 3 and 12 years? b) if matusalen's father had put $2.0 in the bank when he was born and there, how long would matusalen have had to his death (969 years later) if the interest was 7% per year composed each month and weekly?

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

There is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Answers: 2

Answer

Mathematics, 21.06.2019 20:20

If sin(x) = 0 and cos(x) = 1, what is tan(x)?

Answers: 1

Answer

You know the right answer?

The license plates on all karts in marioland contain three numbers followed by three letters. if you...

Questions