Permutation, Combination, and Counting Principal

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

How many distinct ways can the letters in the word OPPORTUNITIES be arranged?

• 389,188,800
• 2,028,377,600
• 1,556,755,200
• 16,227,020,800

How many different radio station names are possible that consist of 4 or 5 letters?

• 456,976
• 11,881,376
• 12,338,352
• 2880

Student council has 24 members. In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?

• 5,100,480

• 0

• 42,504

• 5.17 x 10²¹

A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?

• 3360

• 560

• 4080

• 680

Find the number of possibilities for a group of 15 people who are running a race if the top 5 finishers advance to the finals.

• 1.3 x 10¹²

• 120

• 3003

• 360,360

How many 3-digit area codes are possible if the first number can only be a 2, 7 or 5?

• 70
• 30
• 300
• 7

The batting order for eight players on a 10 person team. Is this a permutation, combination, or neither?

• Neither

• Permutation

• Combination

The student body of 165 students wants to elect three representatives. Is this a permutation, combination, or neither?

• Combination

• Neither

• Permutation