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New Zealand
Level 8 - NCEA Level 3

Probabilities with 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.


How many possible selections are there?


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

Approx 2 minutes
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A newspaper editor is deciding which of $5$5 articles to print on the front page.

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.

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.



Use permutations and combinations

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