Probability Counting - Choose N Letters from M, Count of Total Outcomes - To nCm Notation (Level 1)

This topic focuses on probability counting skills, specifically the ability to compute the number of ways to choose a subset of items from a larger set using the binomial coefficient notation, which is often represented as "n choose m" (nCm). It includes exercises that ask students to determine how many ways different numbers of letter tiles can be drawn from a given set and to express their answers using this combinatorial notation. This forms part of a broader introduction to probability and statistics, emphasizing binomial notation.

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

Choose N Letters from M, Count of Total Outcomes - To nCm Notation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

How many total ways can 2 letter tiles be drawn from this set? Show in nCm notation.

Probability Counting - Choose N Letters from M, Count of Total Outcomes - To nCm Notation Worksheet

Math worksheet on 'Probability Counting - Choose N Letters from M, Count of Total Outcomes - To nCm Notation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/

An svg image showing a math problem

How many total ways can 3 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 6 \text{P} sub 3$

b $A LaTex expression showing sub 6 \text{R} sub 3$

c $A LaTex expression showing sub 8 \text{C} sub 2$

d $A LaTex expression showing sub 3 \text{C} sub 6$

e $A LaTex expression showing sub 6 \text{B} sub 3$

f $A LaTex expression showing sub 6 \text{C} sub 3$

An svg image showing a math problem

How many total ways can 3 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 7 \text{C} sub 3$

b $A LaTex expression showing sub 7 \text{B} sub 3$

c $A LaTex expression showing sub 3 \text{C} sub 7$

d $A LaTex expression showing sub 5 \text{C} sub 2$

e $A LaTex expression showing sub 7 \text{P} sub 3$

f $A LaTex expression showing sub 5 \text{C} sub 4$

An svg image showing a math problem

How many total ways can 3 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 6 \text{C} sub 2$

b $A LaTex expression showing sub 3 \text{C} sub 7$

c $A LaTex expression showing sub 7 \text{P} sub 3$

d $A LaTex expression showing sub 7 \text{C} sub 3$

e $A LaTex expression showing sub 7 \text{B} sub 3$

f $A LaTex expression showing sub 9 \text{C} sub 3$

An svg image showing a math problem

How many total ways can 2 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 5 \text{C} sub 2$

b $A LaTex expression showing sub 4 \text{C} sub 2$

c $A LaTex expression showing sub 5 \text{B} sub 2$

d $A LaTex expression showing sub 5 \text{R} sub 2$

e $A LaTex expression showing sub 5 \text{P} sub 2$

f $A LaTex expression showing sub 2 \text{C} sub 5$

An svg image showing a math problem

How many total ways can 3 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 5 \text{B} sub 3$

b $A LaTex expression showing sub 3 \text{C} sub 5$

c $A LaTex expression showing sub 7 \text{C} sub 5$

d $A LaTex expression showing sub 5 \text{P} sub 3$

e $A LaTex expression showing sub 5 \text{R} sub 3$

f $A LaTex expression showing sub 5 \text{C} sub 3$

An svg image showing a math problem

How many total ways can 2 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 7 \text{R} sub 2$

b $A LaTex expression showing sub 2 \text{C} sub 7$

c $A LaTex expression showing sub 6 \text{C} sub 2$

d $A LaTex expression showing sub 5 \text{C} sub 4$

e $A LaTex expression showing sub 7 \text{C} sub 2$

f $A LaTex expression showing sub 7 \text{P} sub 2$

An svg image showing a math problem

How many total ways can 2 letter tiles be drawn from this set? Show in nCm notation.

a $A LaTex expression showing sub 4 \text{C} sub 2$

b $A LaTex expression showing sub 6 \text{P} sub 2$

c $A LaTex expression showing sub 6 \text{C} sub 2$

d $A LaTex expression showing sub 7 \text{C} sub 2$

e $A LaTex expression showing sub 2 \text{C} sub 6$

f $A LaTex expression showing sub 8 \text{C} sub 2$