Probability nPm Notation - Formula to Description (Level 1)

This math topic focuses on the principles of permutations as applied to probability and statistics, specifically using the notation nPm. It introduces the relationship between formulaic expressions and their contextual interpretations concerning the arrangement and selection of items from a set. Each problem presents a factorial math expression, and students must identify the correct description, challenging their understanding of arranging selections both with and without regards to order from varying sized groups. Topics like factorial calculations and combinations versus permutations are explored to deepen understanding of fundamental concepts in probability and binomial notation.

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

Probability nPm Notation - Formula to Description Worksheet

Math worksheet on 'Probability nPm Notation - Formula 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 formula

a

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

b

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

c

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

d

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

e

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

f

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

2

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

From a group of 6 options how many ways are there to choose 4 options in a specific order?

f

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

3

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

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

f

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

4

Select the correct description for this formula

a

With a group of 2 items, if you choose 5 in a specific order, how many permutations are possible?

b

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

c

From a group of 2 options how many ways are there to choose 5 options in a specific order?

d

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

e

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

f

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

5

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

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

f

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

6

Select the correct description for this formula

a

Choose 4 options in a specific order from a group of 2 options

b

Choose 2 options in a specific order from a group of 4 options

c

From a group of 2 options how many ways are there to choose 4 options in a specific order?

d

Choose a set of 2 items from a group of 4 total items. Ignore the order.

e

With a group of 4 options how many ways are there to choose a set of 2 options regardless of order?

f

From a group of 4 items select a set of 2 items regardless of order.

7

Select the correct description for this formula

a

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

b

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

c

From a group of 6 items select a set of 4 items regardless of order.

d

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

e

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

f

With a group of 6 options how many ways are there to choose a set of 4 options regardless of order?