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Quiz5
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last edited
by Scott Staley 11 years, 4 months ago
This quiz tests your understanding of ...
Multiplication Principle, Permutations, & Combinations
(Key: correct, incorrect, partially correct.)
 One of the State of Indiana's license plate has three numbers followed by three letters. How many plates are possible?
 3! * 3! = 36
 10 * 9 * 8 * 26 * 25 * 24 = 11,232,000
 Not quite. This would be correct if it was stated that the numbers and letters can not be repeated.
 10! * 10! * 10! * 26! * 26! * 26!
 10 * 10 * 10 * 26 * 26 * 26 = 17,576,000
 None of these.
 How many 6letter words can be formed from the letters in the word "FINITE"?
 6! = 120
 6!/2! = 360
 4! * 2! = 48
 5 + 4 + 3 + 2 + 1 = 15
 None of these.
 At a local high school the lockers have combination locks with forty numbers on them. For a student to open one, he/she needs to turn counterclockwise two full rotations to the first number, then a clockwise rotation is needed to get to the second number, and then lastly counterclockwise to the final number. How many different locker combinations are there?
 40* 39 * 38 = 59,280
 40 + 40 + 40 = 120
 40 * 40 * 40 = 64,000
 40!
 None of these.
 A high school math department has fourteen teachers. Each teacher has to be on one and only one committee. The Algebra I committee needs 5 teachers. The Geometry committee needs 4 teachers. The Algebra II committee needs 3 teachers. And thePreCalculus committee needs 2 teachers. How many committees can be formed?
 C ( 14, 5 ) + C ( 9, 4 ) + C ( 5, 3) + C ( 2, 2) = 2,002 + 126 + 10 + 1 = 2,139
 C ( 14, 5 ) * C ( 9, 4 ) * C ( 5, 3) * C ( 2, 2) = 2,522,520
 P ( 14, 5 ) + P ( 9, 4 ) + P ( 5, 3) + P ( 2, 2) = 240,240 + 3,024 + 60 + 2 = 243,326
 P ( 14, 5 ) * P ( 9, 4 ) * P ( 5, 3) * P ( 2, 2) = 87,178,291,200
 None of these.
 How many 5card poker hands contain exactly 3 queens?
 C( 4, 3 ) + C ( 48, 2 ) =4 + 1128 = 1132
 C( 4, 3 ) * C ( 48, 2 ) = 4 * 1128 = 4512
 P ( 4, 3 ) * P ( 48, 2 ) = 24 * 2256 = 54,144
 P ( 4, 3 ) + P ( 48, 2 ) = 24 + 2256 = 2280
 None of these
Score:
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Quiz5

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