Probability nCm Notation - Letter Notation to Description (Level 1)

This math topic revolves around interpreting the binomial coefficient notation (nCm), used in probability to denote the number of ways to choose m items from n items without regard to order. Each problem presents a mathematical expression and asks to select the correct description from multiple choices. The problems focus on choosing subsets of items from a set, where the order of items does not matter, thereby strengthening understanding of combinations as distinct from permutations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Probability nCm Notation - Letter Notation to Description Worksheet

Math worksheet on 'Probability nCm Notation - Letter Notation to Description (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/

1

Select the correct description for this notation

a

Choose a set of 3 items from a group of 3 total items. Ignore the order.

b

From a group of 4 items select a set of 4 items regardless of order.

c

Choose a set of 4 items from a group of 3 total items. Ignore the order.

d

From a group of 4 items select a set of 3 items regardless of order.

e

From a group of 4 options how many ways are there to choose 3 options in a specific order?

f

With a group of 4 items, if you choose 3 in a specific order, how many permutations are possible?

2

Select the correct description for this notation

a

Choose a set of 4 items from a group of 6 total items. Ignore the order.

b

With a group of 6 items, if you choose 4 in a specific order, how many permutations are possible?

c

From a group of 4 items select a set of 3 items regardless of order.

d

Choose 4 options in a specific order from a group of 6 options

e

Choose a set of 2 items from a group of 8 total items. Ignore the order.

f

Choose a set of 6 items from a group of 4 total items. Ignore the order.

3

Select the correct description for this notation

a

From a group of 6 items select a set of 2 items regardless of order.

b

From a group of 4 items select a set of 4 items regardless of order.

c

Choose 4 options in a specific order from a group of 4 options

d

From a group of 4 options how many ways are there to choose 4 options in a specific order?

e

With a group of 4 items, if you choose 4 in a specific order, how many permutations are possible?

f

Choose a set of 4 items from a group of 4 total items. Ignore the order.

4

Select the correct description for this notation

a

Choose a set of 2 items from a group of 7 total items. Ignore the order.

b

From a group of 5 options how many ways are there to choose 3 options in a specific order?

c

Choose a set of 5 items from a group of 6 total items. Ignore the order.

d

Choose 3 options in a specific order from a group of 5 options

e

With a group of 4 options how many ways are there to choose a set of 3 options regardless of order?

f

With a group of 5 options how many ways are there to choose a set of 3 options regardless of order?

5

Select the correct description for this notation

a

From a group of 2 items select a set of 6 items regardless of order.

b

With a group of 2 options how many ways are there to choose a set of 6 options regardless of order?

c

Choose a set of 2 items from a group of 6 total items. Ignore the order.

d

From a group of 8 items select a set of 4 items regardless of order.

e

From a group of 6 options how many ways are there to choose 2 options in a specific order?

f

With a group of 6 items, if you choose 2 in a specific order, how many permutations are possible?

6

Select the correct description for this notation

a

With a group of 4 options how many ways are there to choose a set of 5 options regardless of order?

b

With a group of 5 options how many ways are there to choose a set of 4 options regardless of order?

c

Choose 4 options in a specific order from a group of 5 options

d

With a group of 5 items, if you choose 4 in a specific order, how many permutations are possible?

e

Choose a set of 2 items from a group of 3 total items. Ignore the order.

f

From a group of 5 options how many ways are there to choose 4 options in a specific order?

7

Select the correct description for this notation

a

Choose 3 options in a specific order from a group of 6 options

b

With a group of 6 items, if you choose 3 in a specific order, how many permutations are possible?

c

Choose a set of 3 items from a group of 6 total items. Ignore the order.

d

From a group of 6 options how many ways are there to choose 3 options in a specific order?

e

From a group of 6 items select a set of 5 items regardless of order.

f

Choose a set of 6 items from a group of 3 total items. Ignore the order.