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

This math topic focuses on understanding and interpreting binomial coefficients and combinations using the "n choose k" (nCk) notation. The problems presented involve selecting the correct descriptions related to combinatorial contexts such as choosing groups of items from a larger set without regard to order. This includes exercises where students must identify how many ways sets can be chosen under such conditions. The topic is designed as a beginner's introduction to these statistical concepts, promoting foundational understanding in probability and statistics.

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

Probability nCm Notation - Bracket Notation to Description Worksheet

Math worksheet on 'Probability nCm Notation - Bracket Notation to Description (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_intro/

1

Select the correct description for this notation

a

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

b

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

c

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

d

With a group of 7 options how many ways are there to choose a set of 6 options regardless of order?

e

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

f

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

2

Select the correct description for this notation

a

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

b

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

c

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

d

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

e

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

f

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

3

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 5 items select a set of 2 items regardless of order.

c

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

d

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

e

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

f

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

4

Select the correct description for this notation

a

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

b

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

c

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

d

From a group of 5 items select a set of 4 items regardless of order.

e

Choose a set of 5 items from a group of 4 total items. Ignore the order.

f

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

5

Select the correct description for this notation

a

From a group of 2 items select a set of 5 items regardless of order.

b

With a group of 2 options how many ways are there to choose a set of 5 options regardless of order?

c

Choose 2 options in a specific order from a group of 5 options

d

Choose a set of 5 items from a group of 2 total items. Ignore the order.

e

With a group of 5 options how many ways are there to choose a set of 2 options regardless of order?

f

With a group of 5 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 7 options how many ways are there to choose a set of 6 options regardless of order?

b

From a group of 6 options how many ways are there to choose 5 options in a specific order?

c

With a group of 5 options how many ways are there to choose a set of 6 options regardless of order?

d

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

e

Choose 5 options in a specific order from a group of 6 options

f

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

7

Select the correct description for this notation

a

With a group of 3 options how many ways are there to choose a set of 6 options regardless of order?

b

With a group of 6 options how many ways are there to choose a set of 3 options regardless of order?

c

From a group of 3 items select a set of 6 items regardless of order.

d

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

e

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

f

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