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AustraliaVIC
VCE 11 Methods 2023

5.04 Applications of combinations

Interactive practice questions

A box contains 6 pens of different colours: red, green, blue, yellow, black and white. Two pens are drawn at random without replacement.

a

How many possible selections are there?

b

What is the probability of drawing the green and black pens?

Easy
2min

A newspaper editor is deciding which of $5$5 articles to print on the front page.

Easy
2min

A menu has three entrées ($E_1,E_2,E_3$E1,E2,E3), four mains ($M_1,M_2,M_3,M_4$M1,M2,M3,M4) and two desserts ($D_1,D_2$D1,D2). A meal is made up of one of each.

Easy
1min

A container contains twelve cards. The cards are marked with the numbers 1 to 12. From the container, five cards are drawn at random without replacement.

Easy
2min
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Outcomes

U1.AoS4.1

random experiments, sample spaces, outcomes, elementary and compound events, random variables and the distribution of results of experiments

U1.AoS4.4

combinations including the concept of a selection and computation of nCr and the application of counting techniques to probability.

U1.AoS4.7

counting techniques and their application to probability

U1.AoS4.9

apply counting techniques to solve probability problems and calculate probabilities for compound events, by hand in simple cases

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