AcDec Review Unit 1 and 2.1.1

Determine how many different computer passwords are possible if digits and letters can be repeated: 3 digits followed by 4 letters.

• 10,000

• 1,000,000

• 4,569,760

• 456,976,000

Determine how many different computer passwords are possible if digits and letters cannot be repeated: 2 digits followed by 5 letters.

• 10,000,000

• 6,760,000

• 3,276,800

• 710,424,000

A men’s department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?

• 576

• 432

• 96

• 144

A baseball manager is determining the batting order for the team. The team has 9 players, but the manager definitely wants the pitcher to bat last. How many batting orders are possible?

• 40320

• 362880

• 5040

• 720

How many eight-digit numbers can be formed if the leading digit cannot be a zero and the last number cannot be 1?

• 80,000,000

• 72,000,000

• 90,000,000

• 81,000,000

How many 4 digit odd numbers can be formed if no digit can be repeated?

• 2240

• 2245

• 2250

• 2255

If the NCAA has applications from 6 universities for hosting its intercollegiate tennis championships in 2008 and 2009, how many ways may they select the hosts for these championships if they are not both to be held at the same university?

• 30

• 36

• 42

• 48

If the NCAA has applications from 6 universities for hosting its intercollegiate tennis championships in 2008 and 2009, how many ways may they select the hosts for these championships if they may both be held at the same university?

• 6

• 12

• 36

• 72

There are five finalists in the Mr. Rock Hill pageant. In how many ways may the judges choose a winner and a first runner-up?

• 10

• 20

• 30

• 40

In a primary election, there are four candidates for mayor, five candidates for city treasurer, and two candidates for county attorney. In how many ways may voters mark their ballots if they vote in all three of the races?

• 40

• 20

• 10

• 100