Mathematics, 02.09.2019 21:10 snikergrace

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? a three-piece palindrome is a string of three numbers that reads the same backward and forward, or a string of three letters that reads the same backward and forward.

Answers: 2

Show answers

Answers

Answer from: jumana3

It can be created 1575 license plated with at least one three-piece palindrome.

Step-by-step explanation:

If a license plates has at least one three-piece palindrome, we have the following cases:

1. The license plate just has a palindrome in the three numbers: The number license plates for this case can be calculated using the rule of multiplication as:

5 * 5 * 1 * 3 * 3 * 2 = 450

1st Number 2nd 3rd 1st Letter 2nd 3rd

For have a palindrome in the numbers, the first and the 3rd number need to be the same. So, we have 5 digits for the first and the 2nd Number and one digit for the 3rd Number.

On the other hand, if the palindrome is just in the numbers, the 3rd letter need to be different from the 1st. So we have 3 options for the 1st and the 2nd letter and 2 options for the 3rd letter.

At the same way, we can calculated the number of license plates for the other cases:

2. The license plate just has a palindrome in the three letters:

5 * 5 * 4 * 3 * 3 * 1 = 900

1st Number 2nd 3rd 1st Letter 2nd 3rd

3. The license plate has a palindrome in the three numbers and in the letters:

5 * 5 * 1 * 3 * 3 * 1 = 225

1st Number 2nd 3rd 1st Letter 2nd 3rd

Then, It can be created 1575 license plates with at least one three-piece palindrome and it is calculated as:

450 + 900 + 225 = 1575

Answer from: Quest

Your mom is a pretty lady

Answer from: Quest

The answer would he -4,-2 because the points are just on the opposite side. since the x axis is +4 it's going to he -4 and since the y axis is -2 it stays there because whaen rotated it stays in the third quadrant
Hello! could someone with this problem?

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)

Answers: 1

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 17:30

Hello can you me find all the products

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

Which shows the correct substitution of the values a,b and c from the equation 1=-2x+3x^2+1

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...