Probability nCm Notation - Formula to Description (Level 1)

This topic focuses on understanding and applying the combinatory formula \( \binom{n}{m} \) in different contexts, which involves calculating the number of ways to choose \( m \) elements from a set of \( n \) elements without considering the order. The problems present various scenarios with sets involving elements ranging from 3 to 6 and ask the students to identify the correct interpretation of the combinatorial formula based on these scenarios. Each question provides a specific formula expression and multiple descriptions, where students must select the description that accurately matches the formula. This practice helps enhance comprehension of fundamental probabilistic concepts, specifically focusing on combinations and factorial calculations in a probability and statistics context.

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

Probability nCm Notation - Formula to Description Worksheet

Math worksheet on 'Probability nCm Notation - Formula 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 formula

a

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

b

From a group of 4 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 4 options

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

f

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

2

Select the correct description for this formula

a

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

b

With a group of 7 options how many ways are there to choose a set of 3 options regardless of order?

c

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

d

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

e

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

f

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

3

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

With a group of 4 items, if you choose 2 in a specific order, how many permutations are possible?

f

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

4

Select the correct description for this formula

a

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

b

With a group of 8 options how many ways are there to choose a set of 5 options regardless of order?

c

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

d

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

e

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

f

With a group of 6 items, if you choose 5 in a specific order, how many permutations are possible?

5

Select the correct description for this formula

a

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

b

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

c

Choose 3 options in a specific order from a group of 4 options

d

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

e

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

f

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

6

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

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

f

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

7

Select the correct description for this formula

a

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

b

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

c

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

d

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

e

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

f

Choose 2 options in a specific order from a group of 6 options