Order Counting Techniques Discussion Assignment

Order Counting Techniques Discussion Assignment
Order Counting Techniques Discussion Assignment
1. How many different meal combinations consisting of one sandwich,
one drink, and one type of chips are possible from a selection of
8 kinds of sandwiches, 5 drinks, and 7 types of chips?
(A) 20
(B) 35
(C) 40
(D) 280
2. A code for a locking briefcase consists of five digits that must be
entered in a definite order. Each of the digits 0 through 9 may be used
in the code, and repetition of digits is allowed. How many different
five-digit codes are possible?
(A) 100,000
(B) 59,049
(C) 30,240
(D) 15,120
3. There are 30 separate candidates for three vice president positions at a
university. Assuming all 30 candidates are qualified to be selected for
any one of the three VP positions, how many different ways can the
positions be filled?
(A) 27,000
(B) 24,360
(C) 4,060
(D) 60
Chapter 6
445 ❯ McGraw-Hill’s 500 Statistics Questions
4. Suppose a high school issues each student a student identification (ID)
number that consists of two letters followed by six digits (0 through 9).
Assuming repetition of letters and digits is not allowed, how many unique
student ID numbers are possible?
(A) 26 9 2 6 ⋅
(B) 26

(C) 26 10 2 6 ⋅
(D) 26 25 10 9 8 7 6 5 ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅
5. In a certain state, the alphanumeric code for a car license plate consists
of three letters followed by three digits (0 through 9). For that state, how
many different car license plate alphanumeric codes are possible if repetition of digits and letters is allowed?
(A) 366
(B) 26 10 3 3 ⋅
(C) 26 9 3 3 ⋅
(D) 26

6. For the area code 936, how many seven-digit telephone numbers that
begin with 564- are possible if repetition of digits is allowed?
(A) 104
(B) 3 104 ⋅
(C) 10 9 8 7 ⋅ ⋅ ⋅
(D) 107
7. Suppose a code is dialed by means of three disks, each of which is stamped
with 15 letters. How many three-letter codes are possible using the three
(A) 15C3
(B) 153
(C) 15⋅ ⋅ 14 13
(D) 15 3

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