Math 227 - Statistics » Spring 2023 » 07P Counting

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Question #1
A thief steals an ATM card and must randomly guess the correct 3-digit pin code from a 7-key keypad. Repetition of digits is allowed. How many possible pin codes are there?
A.   343
B.   550
C.   918
D.   749
Question #2
If you know the names of the remaining 12 students in the spelling bee, how many ways are there to order all of those remaining students?
A.   420,560,890
B.   490,800,700
C.   378,450,210
D.   479,001,600
Question #3
There are 13 members on a board of directors. If they must elect 3 titled officers, how many different slates of candidates are possible?
A.   1,316
B.   1,716
C.   1,226
D.   1,511
Question #4
A classic counting problem is to determine the number of different ways that the letters of "electronically" can be arranged. Find that number.
A.   2,864,290,000
B.   4,002,640,000
C.   3,632,428,800
D.   3,220,450,600
Question #5
There are 10 members on a board of directors. If they must form a subcommittee of 7 members, how many different subcommittees are possible?
A.   140
B.   120
C.   100
D.   160

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