From a group of six people, two individuals are to be selected at random. How many possible selections are possible?Question 9Select one:a.36b.15c.8d.12
Question
From a group of six people, two individuals are to be selected at random.
How many possible selections are possible?
Question 9
Select one:
- a. 36
- b. 15
- c. 8
- d. 12
Solution
The answer to this question can be found using the combination formula, which is used when the order of selection does not matter. The formula is:
C(n, r) = n! / [r!(n-r)!]
where:
- n is the total number of items,
- r is the number of items to choose,
- "!" denotes factorial, which means multiplying all positive integers up to that number.
In this case, n = 6 (the total number of people) and r = 2 (the number of people to be selected).
So,
C(6, 2) = 6! / [2!(6-2)!] = (654321) / [(21)(4321)] = (720) / (2*24) = 720 / 48 = 15
So, there are 15 possible selections. Therefore, the correct answer is b. 15.
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