Question

A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C.
• Use the counting principle to determine the number
• Construct a tree diagram to represent this situation
• List the sample space.
• Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form.

please show work and help!

Answer 1

where are you stuck?

Answer 2

on all of it?

Answer 3

how many ways can you arrange the 3 numbers

Answer 4

there aren't that many ...you could list them all

Answer 5

369, 639, 936

Answer 6

what about 396,693,963

Answer 7

there are 3!=3*2*1=6 ways to do it

Answer 8

how many choices do you have for the letter?

Answer 9

a,b, or c

Answer 10

so 3 choices

Answer 11

then the total number of plates is 6*3=18

Answer 12

how do i do the rest!

Answer 13

I can't draw a tree diagram here so I'll skip that.

as for the sample space...just list out all 18 possibilities
369A
369B
369C
396A
...

Answer 14

one you get the list done

the probability you have a B is

the number of plates in the sample space that have a B divided by 18

Answer 15

please show me how to draw a tree digram

Answer 16

http://www.twiddla.com/599486