) A certain state is making new license plates. The first three digits are going to be letters that can repeat. The last three digits are going to be single digit numbers (0-9) that can also repeat. How many different license plate combinations are possible?
A. 36 B. 108 C. 260 D. 260,000 E. 17,576,000
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OpenStudy (anonymous):
@jim_thompson5910 help porfavor=D
jimthompson5910 (jim_thompson5910):
how many letters do you have to choose from
OpenStudy (anonymous):
26
jimthompson5910 (jim_thompson5910):
how many ways are there to choose 3 letters (repeats allowed)
OpenStudy (anonymous):
ummm 17576
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jimthompson5910 (jim_thompson5910):
26^3 = 17576, good
jimthompson5910 (jim_thompson5910):
how many numeric digits do you have choose from
OpenStudy (anonymous):
0-9 so 10 digits
jimthompson5910 (jim_thompson5910):
how many ways to choose 3 numeric digits (repeats allowed)
OpenStudy (anonymous):
1000
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jimthompson5910 (jim_thompson5910):
yep 10^3 = 1000
jimthompson5910 (jim_thompson5910):
multiply 17576 and 1000 to get your final answer
OpenStudy (anonymous):
thank you so much.i think i get it know! thanks for the help!