Mathematics Quiz

A bakery offers 3 types of bread (B1, B2, B3) and 4 types of fillings (F1, F2, F3, F4). A customer chooses one bread and one filling for a sandwich. How many different sandwiches can the customer make? What is the solution for the problem?

• (3)(5)

• (3)(4)

• (5)(4)

• (7)(3)

A classroom has 5 students: Alice, Bob, Clara, David, and Emily. They want to line up for a photo. What type of permutation is used to calculate the number of arrangements when all 5 students are distinct?

• Distinct Permutation

• Circular Permutation

• Indistinguishable Permutation

• Repeated Permutation

Amari will travel in Switzerland to see Thse Matterhorn. She realized that the word "Matterhorn" has letters that repeat. How many distuingshable permutation can be formed in the word "MATTERHORN?

• 40,320

• 907,200

• 7,257,600

• 1,814,400

A pizza restaurant is offering a special price with 2 toppings. They offer the toppings: pepperoni, sausage, ham, chicken, green pepper, onion, mushroom and pineapple. Suppose that Rosa’s favorite is sausage and onion, but her mom cannot remember that, and she is going to randomly choose 2 different toppings. If Rosa’s mom will use combination, what are the values of n and r?

• n=8 r=2

• n=8 r=8

• n=2 r=8

• n=6 r=2

From #4, what equation shows the number of ways Rosa can choose 2 toppings?

• P=8!/2!(8-2)!

• P=6!/2!(6-2)!

• P=10!/8!(10-8)!

• P=8!/6!(8-6)!

From #4, how many choices of 2 different toppings can Rosa’s mom choose for the pizza?

• 28

• 16

• 12

• 8

What type of permutation is illustrated in the situation: “The number of arrangements of the letters in the word ISOSCELES is 120.”?

• Indistinguishable Permutation

• Distinct Permutation

• Repeated Permutation

• Circular Permutation

Consider a standard deck of 52 cards. What combination notation will represent the problem if you are asked to determine the different four-card hands that can be formed with at most two queens?

• (48C2 • 4C2) + (48C3 • 4C1) + (48C4 • 4C0)

• 48C0 • 4C4 + 48C3 • 4C1 + 48C0 • 4C4

• 48C2 • 4C1 + 48C3 • 4C0 + 48C0 • 4C3

• 48C4 • 4C0 + 48C1 • 4C4 + 48C4 • 4C4

A card is drawn at random from a standard deck of 52 playing cards. What statement would lead to the probability that a card is an Ace (A) or a King (K)?

• P(A U K) = P(A) + P(K)

• P(A U K) = P(A) - P(K)

• P(A U K) = P(A) ÷ P(K)

• P(A U K) = P(A) × P(K)

What do you call the events that do not have something in common?

• Mutually Exclusive

• Not Mutually Exclusive

• Intersection

• Union