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Probability · Question 6 of 70

Question 6

EasyOriginal question

2 people are chosen together from 5 for a committee. How many outcomes are in the sample space?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A committee has no order, so count combinations: 5C2{}^{5}C_2.

  2. 5C2=5×42=10{}^{5}C_2 = \frac{5 \times 4}{2} = 10.

Worth noting

20 is 5×45 \times 4, which counts each pair twice, once in each order.

Concept
Sample space of a choice without order
Typical time
60 s
Your time
—
The rule this testsEvents and sample spaces
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.