Permutation, Combination, and Fundamental Counting Principle

In the formula nPr, what does r stand for?

• permutation

• combination

• total number of objects

• total number of objects selected

In the formula nCr, what does n stand for?

• permutation

• combination

• total number of objects

• total number of objects selected

Given a full deck of cards, find the cardinality of getting a red card.

• 13

• 26

• 39

• 52

It is the arrangement of objects in a defined order.

• permutation

• combination

• probability

• fundamental counting

Find the value of 6P3.

• 60

• 80

• 100

• 120

Find the value of 10C4.

• 210
• 66
• 45
• 120

In how many ways can the word HAPPY be arranged?

• 24
• 60
• 120
• 48

In how many ways can the word MISSISSIPPI be arranged?

• 34,650
• 40,000
• 34,560
• 30,000

Josh and Mark are selecting the players for their upcoming basketball game. In how many ways can they choose the first five players from their team of twelve?

• 792
• 1001
• 924
• 660

Alpha, Bravo, Charlie and Delta are competing against each other in the CAT games. In how many ways can the first, second, third and fourth placer be ranked?

• 36
• 6
• 12
• 24