Grade 11 Practice

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

How do you calculate the number of permutations of n items taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!, where n is the total number of items and r is the number of items to arrange.

Front

How do you calculate the number of combinations of n items taken r at a time?

Back

The formula is C(n, r) = n! / (r! * (n - r)!), where n is the total number of items and r is the number of items to choose.

Front

What is the factorial of a number?

Back

The factorial of a number n (denoted as n!) is the product of all positive integers up to n.

Front

How many ways can you arrange the letters in the word 'math'?

Back

24 ways (4! = 4 x 3 x 2 x 1 = 24).

Front

If you have 15 different toppings, how many ways can you choose 3 toppings for your sundae?

Back

C(15, 3) = 455 ways.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

In how many ways can you select a lead and an understudy for a school play from 10 candidates?

Back

P(10, 2) = 90 ways.

Front

How many ways can you choose 2 out of 5 fruits?

Back

C(5, 2) = 10 ways.