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

This math topic focuses on probability counting, specifically on choosing a number of cards from a set. Skills practiced include calculating the total number of ways to choose a subset of cards from a larger set, using the combinations notation (nCm). The topic is an introductory look at binomial notation as part of a broader study in probability and statistics. Each question asks participants to express their answers in nCm notation, reinforcing their understanding of combinations in different scenarios. This includes determining all the possible ways cards can be drawn from a deck, spatially visualized using different notation techniques.

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

Choose N Cards 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 cards be drawn from this set? Show in nCm notation.

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

Math worksheet on 'Probability Counting - Choose N Cards 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 2 cards be drawn from this set? Show in nCm notation.

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

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

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

d $A LaTex expression showing sub 6 \text{R} sub 2$

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

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

An svg image showing a math problem

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

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

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

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

An svg image showing a math problem

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

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

b $A LaTex expression showing sub 7 \text{C} sub 4$

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

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

An svg image showing a math problem

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

a $A LaTex expression showing sub 7 \text{C} sub 4$

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

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

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

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

f $A LaTex expression showing sub 6 \text{B} sub 2$