Combination

Combination and Permutation

Multiple Choice

A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 9 runners?

• 504

• 8 * 10^-3

• 729

• 84

Answer

• Permutation

• With out repetition

Multiple Choice

A computer system can be configured using 1 of 3 processors of different speeds, 1 of 4 disk drives of different sizes, 1 of 3 monitors, and 1 of 2 graphics cards. How many different computer systems are possible?

• 48

• 125

• 72

• 75

Product of combinations

• 3 * 4 * 3* 2

Multiple Choice

A professor gives his students 9 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?

• 19683

• 36

• 729

• 72

Combination

Multiple Choice

A group consists of 13 students (8 boys and 5 girls). Only 5 of them will be taken to a field trip. How many different selections of students exist, if it needs to contain at most 2 boys?

• 280

• 321

• 234

• 423

Multiple Choice

How many 3 or 4 digit codes could David create, if only odd digits are available for him to choose from, without any repeating?

• 190

• 180

• 170

• 110