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.

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Letter Notation to Description

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Select the correct description for this notation

6C4_6\text{C}_4

Probability nCm Notation - Letter Notation to Description Worksheet

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Math worksheet on 'Probability nCm Notation - Letter Notation to Description (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/
1
Select the correct description for this notation
A LaTex expression showing sub 5 \text{C} sub 3
a
With a group of 5 items, if you choose 3 in a specific order, how many permutations are possible?
b
From a group of 5 items select a set of 3 items regardless of order.
c
With a group of 3 options how many ways are there to choose a set of 5 options regardless of order?
2
Select the correct description for this notation
A LaTex expression showing sub 3 \text{C} sub 3
a
With a group of 3 options how many ways are there to choose a set of 3 options regardless of order?
b
With a group of 3 items, if you choose 3 in a specific order, how many permutations are possible?
c
From a group of 3 options how many ways are there to choose 3 options in a specific order?
3
Select the correct description for this notation
A LaTex expression showing sub 4 \text{C} sub 4
a
With a group of 4 items, if you choose 4 in a specific order, how many permutations are possible?
b
Choose 4 options in a specific order from a group of 4 options
c
From a group of 4 items select a set of 4 items regardless of order.
4
Select the correct description for this notation
A LaTex expression showing sub 6 \text{C} sub 5
a
From a group of 6 options how many ways are there to choose 5 options in a specific order?
b
With a group of 6 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?
5
Select the correct description for this notation
A LaTex expression showing sub 4 \text{C} sub 2
a
With a group of 4 items, if you choose 2 in a specific order, how many permutations are possible?
b
With a group of 4 options how many ways are there to choose a set of 2 options regardless of order?
c
From a group of 3 items select a set of 3 items regardless of order.
6
Select the correct description for this notation
A LaTex expression showing sub 6 \text{C} sub 6
a
Choose 6 options in a specific order from a group of 6 options
b
From a group of 6 items select a set of 6 items regardless of order.
c
With a group of 6 options how many ways are there to choose a set of 6 options regardless of order?
7
Select the correct description for this notation
A LaTex expression showing sub 5 \text{C} sub 2
a
Choose 2 options in a specific order from a group of 5 options
b
With a group of 2 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 2 options regardless of order?