# MATH-SO LOST :(

posted by .

A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.

Use the counting principle to determine the number of points in the sample space.
Construct a tree diagram to represent this situation.List the sample space.
Determine the exact probability of creating a mini license plate with a C. Give solution exactly in reduced fraction form.

• MATH-SO LOST :( -

2 choices for the number, followed by 3x3 choices for the letters
number of plates = 2x3x3 = 18

the second part is somewhat ambigious.
Can both spots be C ? I will assume that

1. one C = 2x1x2 + 2x2x1 = 8
2 two C;s = 2x1x1 = 2

number of cases = 10

prob of a C = 10/18 = 5/9

• MATH-SO LOST :( -

SO CONFUSED STILL....

• MATH-SO LOST :( -

3CC
3CA
3CR
3AA
3AC
3AR
3RR
3RA
3RC , that's 9 now do the ones starting with 7 for another 9
for a total of 18

now count how many of those 18 have a C in them .
Including the column starting with 7, I count 10 with a C in them

What part is still confusing?

• MATH-SO LOST :( -

okay...i get it now thank you Reiny :)

## Similar Questions

1. ### Math

A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?
2. ### Math

A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?
3. ### math

suppose a license plate for a car has 4 letters followed by 1 number and 3 more letters. The letters and numbers are chosen randomly. a. how many license plates are possible?
4. ### math

how do you explain this questionA mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a T, O or Y. Each number must be a 4 or 6. Repetition of digits is permitted. Use the counting …
5. ### math

a liscence plate for a car must consist of a letter followed by two numbers. Each letter mus be an R, U or N. Each number must be a 2 or 6. Repetition of digits is permitted. Use the counting principle to determine the number of points …
6. ### Math

A mini license plate for a toy car must consist of two numbers followed by a letter. Each number must be a 5, 7 or 9. Each letter must be a C, A or N. Repetition of digits is NOT permitted. Use the counting principle to determine the …
7. ### survey of math

A license plate is to consist of 2 letters followed by 3 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted?
8. ### statistics

A license plate is to have 3 digits followed by 2 uppercase letters. What is the number of different license plates possible if repetition of numbers and letters is not permitted?
9. ### Computers

In Python - A state creates license plates, each containing two letters followed by three digits. The first letter must be a vowel (A,E,I,O,U), and duplicate letters and digits are allowed. The second letter can be any letter of the …
10. ### Math

How do I work this problem? A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. is this correct 26*26*10*10*10*10*10=

More Similar Questions