Question

How many 7-number license plates are possible?
SS Provided below~

Answer 1

The way they explain it in your screenshot is confusing haha

But here's the concept

We have a 7 number license plate

Answer 2

We can have a license plate number of 0000000 or 1234567
and so many more different possibilities

We're trying to calculate all those possibilities

Answer 3

Right

Answer 4

For each blank, we have 10 choices
We can have either 0, 1, 2, 3, 4, 5, 6 , 7, 8, 9

Following along still?

Answer 5

Yes c:

Answer 6

so

Answer 7

we can have

0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 for the first digit
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 for the second digit
... and so on until
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 for the 7th digit

Answer 8

is it 10 to the power of 7? or 7 to the power of 10 lol

Answer 9

so what are the total possibilities going to be if we have 7 digits and 10 choices for every digit

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531
is it 10 to the power of 7? or 7 to the power of 10 lol
\(\color{#0cbb34}{\text{End of Quote}}\)
I'm not really sure, lol

Answer 11

The slide in your screenshot says

if we make 'r' selections from 'n' choices
total number of arrangements is \(\Large n^r\)

Another way to say selections is digits
and choices is choices

Answer 12

and I'm not really sure ;/

Answer 13

Ok Im going to make this a little easier how many times does 7 go into 10 and how many times does 10 go into 7?

Answer 14

70, but thats not the answer-

Answer 15

To find the total number of possibilities, you just multiply like this

Answer 16

so if you're multiply 10 by itself seven times

is that 10^7 or 7^10

Answer 17

10 ^7

Answer 18

That's your answer!

Were you able to understand though? For each blank, we could choose from any of the 10 numbers.
Since we have 7 blanks, and each one can be one of those 10 numbers.
Then the total number of possibilities is 10*10*10*10*10*10*10 or 10^7 like you said

Answer 19

Hmmm, well I googled the question, because I was confused, and well one answer said: There are 26 letters and 10 digits, or 36 possible characters. Assuming all combinations are allowed, this is 36^7 = 78,364,164,096 possible combinations.

Answer 20

Also AZ is right but a good thing to do is always double check your work to make sure it right.

Answer 21

its*

Answer 22

Okai, I'll try it, ty <3