Permutation, Combination, Independent, and Dependent

Day 1 Combination/Permutation:

A Mathematics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

• 5

• 10

• 15

• 25

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions

• Permutations with 10 choices and 5 positions

• Permutations with 5 numbers and 10 operations

• Permutations with 5 hot dogs and 10 drinks

Day 1 Combination/Permutation:

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

• 336

• 56

• 24

• 64

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 players to start?

• 95,040

• 792

• 60

• 144

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

Calculate ₈P₂

Mathematical Equivalence

OFF

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

Day 1 Combination/Permutation:

Kevin is making an omelet. There are 7 types of meat and 2 types of cheese to choose from. How many different omelets can Kevin make using exactly one of each item?

• 7

• 14

• 9

• 24

Kamal wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Kamal choose?

• 8

• 6

• 4

• 16