SOLUTION: Laura's iphone requires a 6-digit unlock code using the numbers 0-9 on the keypad. How many different codes could Laura use for her phone?

Question 1194295: Laura's iphone requires a 6-digit unlock code using the numbers 0-9 on the keypad. How many different codes could Laura use for her phone?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Answer: 1,000,000
Delete the commas if needed.

Reason:
There are 10 items in the set {0,1,2,..,9} and 6 slots. That gives 10^6 = 1,000,000 (one million) different six-digit codes where repeat digits are allowed.

If you wanted, you can consider a smaller subproblem. Imagine you had only 2 slots to work with rather than 6. Then picture a 10 by 10 table to show the 10*10 = 100 two-digit codes possible. Extend this idea out to 6 digits and that's why we multiply.
We shorten the repeated multiplication by using exponents
10^6 = multiply out 6 copies of "10"

Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

If repetition of the digits is allowed in the code, (which you may assume, since the problem
does not prohibit it), then in each of the 6 positions there are 10 possible digits from 0 to 9, inclusive.

In 6 positions, it gives    = 1,000,000   possible codes (one million), in total.             ANSWER

Solved and explained.

RELATED QUESTIONS
you create a four digit code for your ATM card using the digits 0 to 9. how many... (answered by stanbon)
How many different 5 digit codes are possible using the keypad show ,if the frist digit... (answered by MathLover1)
How many different 5-digit codes can be made using the numbers 0-9 if repitition is... (answered by edjones)
Telephone numbers in the US start with a 3 digit area code followed by a 7 digit local... (answered by Alan3354)
how many different 5-digit codes are possible using the keypad shown at the right if the... (answered by jorel1380)
Each person that works at a company is given a 5-digit code.These employees must enter... (answered by Edwin McCravy,ikleyn)
A door lock has a 5 number keypad. How many different three digit codes are possible if... (answered by Edwin McCravy)
The access code to a house�s security system consists of seven digits. How many different (answered by Fombitz)
Need to create a pin code that consists of 8 numbers. How many different pin codes can... (answered by Boreal)