30) If car license numbers include 3 letters ( from A to Z ) and 2 numbers from

Question

30)   If car license numbers include 3 letters ( from A to Z ) and 2 numbers from 0 to 8 exclusively (the letters and the numbers can’t be repeated). How many possible license numbers are there?

      A) 1,265,472 B) 1,123,200      C) 567,840       D) 1,423,656        

31)    In a family of 6 children, what is the probability that they included 3 girls and 3 boys

A) 0.313      B) 0 .500          C) 0.687          D) 0.677         

32)   What is the Test Statistic for a claim about standard deviation = 3.3 if s = 3.5 and n = 19 ?

        B)       C)        D)

Explanation / Answer

30) The correct option is D

Choose the 3 positions where you put the letters:

C(5,3) = 5!/(3!2!) = 10

Then choose any letter for each of those positions:

26^3 = 17,576

Then choose any digit for each of the other positions:

9^2 = 81

Total number of license plates:

10 × 17,576 × 81 = 1,423,656

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