Please help 31 Home Ivy Tech Commu x MyMathLab MATH135 x (D Take a Test Ray Kim

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31 Home Ivy Tech Commu x MyMathLab MATH135 x (D Take a Test Ray Kim x C chegg study louided x C 9H1 H https//www.math Sol ship Print Fvents Kelley ralend MATH135-84 Spring 2017 Quiz: MIDTERM QUIZ This Question 1 pt 21 of 33 (1 complete How many differen lirense plates are possible if each contains 3 letters (out of the alphabers26 letters) followed hy 6 digits (from a to 9)? There are different possible license plates. Simplify your answer.) Enter your answer in the answer box. a Search Windows Fvent In For Yoo Ray Klm 5/1217 12:01 PM Submit Quiz This Quiz: 33 pts possible 2017-U5-12.

Explanation / Answer

case a) If repetitions are allowed.

26*26*26 for the 3 letters,

10*10*10*10*10*10 for the 6 numbers.

So total number of licence plates are 26*26*26*10*10*10*10*10*10 = 1.757610

case b) If repitition are not allowed.

For 3 letters 26*25*24

For 6 digits 10*9*8*7*6*5

So total number of licence plates are  26*25*24 *10*9*8*7*6*5= 2358720000.

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