Question

a) Washington state license plates for cars consist of 3 numbers followed by 3 letters. How many license plates are there? Do not consider vanity plates or other oddities.

Answer 1

10 possible values for each number slot (0 - 9)

3 slots means 10*10*10. you can also look at is as 1000 possible numbers between 000 and 999

26 possible values for each letter slot (A - Z)

3 slots means 26*26*26 = 17, 576

answer is number of possible numbers * number of possible letter sequence

= 10*10*10*26*26*26 = 17, 576, 000

Answer 2

Can you help me with another question?

Answer 3

yes

Answer 4

Okay thank you. Some lottery tickets consist of six numbers each ranging from 1 to 40. How many different tickets are there?

Answer 5

Can you help me go through this problem?

Answer 6

What would I have to do first?

Answer 7

Since there are 6 numberes would it be 10x10x10x10x10x10?

Answer 8

almost. there are 40 possible values from (1 - 40)

so it is 40^6

Answer 9

if it were a 6 number license plate, what you wrote above would be the answer

Answer 10

Oh okay. Just to be clear can you help me with another?

How many telephone numbers are there in the 509 area code? Telephone numbers may not start with the number 0 or 1. They also must not begin with 911 or 555. Do not consider other special circumstances.


How would I start this one?

Answer 11

Would I have to do 509^3?

Answer 12

numbers in 509 area code would look like this: (509) XXX-XXXX

consider each digit separately for the possible number they can be


1st * 2nd * 3rd * 4th * 5th * 6th * 7th

then subtract the number of amount of exceptions

Answer 13

How do you get the amount of exceptions?

Answer 14

so would it be 10^7 - _______?

Answer 15

for number that start with 911 or 555, consider only the last 4 digits

meaning there are 10^4 of both that can't exist.

also i find it simpler to look at it as

8*10*10*10*10*10*10 - exceptions since the first digit can't be 0 or 1

Answer 16

Why would you only consider the last four digits?

Answer 17

because the first 3 would be the same

Answer 18

either 911 or 555

Answer 19

as if they were asking how many numbers start with 509-911-XXXX

Answer 20

so it would be 8*10^6- 10^4?

Answer 21

minus 2 x 10^4 since there is the exceptions for 555 and 911

Answer 22

ohh okay. so the answer should be 7980000

Answer 23

yes. according to me.

do you have the answers? is it an online quiz?

Answer 24

No I dont have the answer. Its a question for my online stats class

Answer 25

But thank you!

Answer 26

glad i could help ^_^

when do you get to know the answer? i

Answer 27

Probably tomorrow, depends on whether the teacher grades it tonight

Answer 28

cool. let me know please C:

off to eat, afk for a bit

Answer 29

okay thank you :)