NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Probabilities with Permutations

Interactive practice questions

Christa, James, Beth, Buzz and Eileen are to be placed in a line in random order.

a

What is the probability that they will be arranged from tallest to shortest?

b

What is the probability that they will be arranged from oldest to youngest?

c

What is the probability that they will be arranged in alphabetical order?

d

What is the probability that the boys will be next to each other and the girls will all be next to each other?

Easy
Approx 4 minutes
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The letters of the word SPACE are to be rearranged.

$8$8 cards have different letters written on them. The letters are $A,R,I,O,S,C,G,U$A,R,I,O,S,C,G,U. The cards are shuffled and laid out on a table with the letters face up next to one another.

A random three-letter string is to be formed from the letters A, B, C, D, E and F without repetition.

Outcomes

M8-3

Use permutations and combinations

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