Counting Principle L2

Counting Principle L2

By Henry Phan

Multiple Choice

Determine how many choices from 5 through 9

• 4

• 5

• 6

• 7

Multiple Choice

A passcode has 4 digits ABCD. A through C can be any number but it cannot repeat. D has no restriction.

• 10 x 9 x 8 x 9

• 10 x 9 x 8 x 7

• 10 x 9 x 8 x 10

• 10 x 9 x 8 x7 x 10

Multiple Choice

One particular state has area codes (202, 231, 554, 617, 337, 279). How many choices are possible there

• 3

• 4

• 5

• 6

Multiple Choice

How many choices from A through Z

• 24

• 25

• 26

• 27

Multiple Choice

How many choices from C through Z

• 24

• 25

• 26

• 27

Multiple Choice

You want to create a six-digit passcode number which is of the form ABCDEF for your table. The digit ‘A’ and ‘B’ is restricted to a number 2 through 7. The digits C and D  can be any number, but they cannot repeat.  The digits E and F has no restriction.  How many combinations of six-digit passcode numbers are possible with these restrictions?

• 7 x 7 x 10 x 9 x 10 x 10

• 6 x 6 x 10 x 9 x 10 x 10

• 5 x 5 x 10 x 9 x 8 x 7

• 5 x 5 x 10 x 9 x 10 x 10

Multiple Choice

A ten-digit telephone number is of the form (XYZ) – ABC –DEFG. In one particular state, there are 4 possible area codes (251, 324, 938, and 205).  The digit ‘A’ is restricted to a number 3 through 7.    The digits B, C , and D can be any number but they cannot repeat.  The digits E, F and G have no restriction.  How many ten digit phone numbers are possible with these restrictions?

• 4 x 5 x 10 x 9 x 8 x 10 x 10 x 10

• 4 x 5 x 10 x 9 x 8 x 7 x 6 x 5

• 5 x 4 x 10 x 9 x 8 x 7 x 10 x 10

• 5 x 5 x 10 x 9 x 8 x 10 x 10

Multiple Choice

A ten-digit telephone number is of the form (XYZ) – ABC –DEFG in the metropolitan Atlanta city. In one particular state, there are 4 possible local area codes (404, 678, 770, and 470).  The digit ‘A’ is restricted to a number 3 through 7. The digits B and C are restricted to a number 2 through 6 The digits D, E, and F can be any number but they cannot repeat.  The digits G has no restriction.  How many ten digit phone numbers are possible with these restrictions?

• 5 x 6 x 6 x 6 x 10 x 9 x 8 x 10

• 5 x 6 x 6 x 6 x 10 x 9 x 8 x 7

• 4 x 5 x 5 x 5 x 10 x 9 x 8 x 7

• 4 x 5 x 5 x 5 x 10 x 9 x 8 x 10

Multiple Choice

A student ID for a high school requires that card number consists of six characters.  The first four characters are digit numbers, and they can be any number without restriction.  The last two characters are letters and cannot repeat.  How many student ID’s are possible?

• 10 x 10 x 10 x 10 x 25 x 24

• 10 x 10 x 10 x 10 x 26 x 25

• 10 x 9 x 8 x 7 x 26 x 25

• 10 x 9 x 8 x 7 x 25 x 24

Multiple Choice

A student ID for a high school requires that card number consists of six characters.  The first four characters are letters, and they can be any number cannot repeated.  The last two characters are numbers and they had no restriction.  How many student ID’s are possible?

• 10 x 10 x 10 x 10 x 26 x 24

• 10 x 9 x 8 x 7 x 26 x 25

• 26 x 25 x 24 x 23 x 10 x 10

• 26 x 25 x 24 x 23 x 10 x 9