Exploring Permutations and Combinations

What is the primary use of permutations and combinations?

• To calculate probabilities

• To graph functions

• To solve equations

• To determine the total number of possible outcomes

When do we use permutations?

• When order is irrelevant

• When selecting items without replacement

• When items are identical

• When order matters

What does the notation 'nPr' represent?

• Combination of n items taken r at a time

• Permutation of n items taken r at a time

• Probability of selecting r items from n

• Total number of items divided by the number of choices

How do you calculate a permutation using a calculator?

• Multiply n by r directly

• Subtract r from n and calculate the factorial

• Enter n, hit the combination button, then r

• Enter n, hit the permutation button, then r

In a scenario where order matters, which concept would you apply?

• Factorial

• Permutation

• Probability

• Combination

When arranging 12 students in 12 seats, which calculation method is used?

• Combination

• Permutation

• Addition

• Subtraction

What is the key difference between permutations and combinations?

• Combinations are used when order does not matter

• Permutations are used when order does not matter

• There is no difference

• Combinations require the use of a calculator

What does the notation 'nCr' signify?

• Combination of n items taken r at a time

• The total number of ways to arrange n items

• Permutation of n items taken r at a time

• The probability of choosing r items from n

Choosing a team of 5 from 11 athletes is an example of:

• Combination

• Permutation

• Division

• Probability

If you have 15 ice cream flavors and can choose 2, how many combinations are possible?

• 210

• 225

• 105

• 30