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WorksheetsAMDM A Unit 1 Fundamental Counting Principle
Total questions: 11
Worksheet time: 27mins
Name
Class
Date
1.
Ten digit telephone number has a form (XYZ) - ABC-DEFG. In the particular state there are 4 possible area codes (404, 470, 678, and 607). The digit A is restricted to a number 2 through 8. The digits B and C can be any number but they cannot repeat. D,E,F, G have no restrictions. How many phone numbers are possible with these restrictions?
a)
28,800,000
b)
25,200,000
c)
16,533,720
d)
28,000,000
2.
The Social Security number contains nine digits, if the form of 000-00-0000. How many different Social Security numbers can be formed using any numerals from 0 to 9?
a)
9,000,000,000
b)
81
c)
387,420,489
d)
1,000,000,000
3.
How many area codes of the form (XYZ)are possible if the digits X and Y can be any number 1-9 and digit Z can be any number 2-9 ?
a)
1000
b)
729
c)
512
d)
648
4.
Student ID number consists of 6 characters. The first four characters can be any number without restrictions. The last two characters are letters and cannot repeat. How many student IDs are possible?
a)
6,760,000
b)
4,738,500
c)
6,500,000
5.
There are eight horses in the race. How many ways can they finish First, Second and Third?
a)
512
b)
448
c)
336
d)
24
6.
At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
7.
You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?
a)
4096
b)
24
c)
1296
d)
10
8.
How many different three digit alarm codes can be formed for the house alarm if the first digit must be 3, 5 or 7, and all other digits can be any number but numbers cannot repeat.
a)
300
b)
3000
c)
270
d)
22
9.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
10.
Shoppers in a large shopping mall are categorizes as male or female, over 40 or under 40, and cash or credit card shoppers. In how many ways can shoppers be categorized?
a)
160
b)
6
c)
8
d)
16
11.
Student ID number consists of 6 characters. The first four characters can be any number without restrictions. The last two characters are letters and cannot repeat. How many student IDs are possible?
a)
6,760,000
b)
4,738,500
c)
6,500,000
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