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givi [52]
2 years ago
14

A bag contains 17 counters all of different colours. Colin chooses one counter and gives it to Obi, and another counter and give

s it to Zeema. In how many ways can Colin do this?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

Colin can do this is 272 ways.

Step-by-step explanation:

The first counter goes to Obi and the second to Zeema, so the order is important. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

Two counters from a set of 17. So

P_{(17,2)} = \frac{17!}{(17-2)!} = 272

Colin can do this is 272 ways.

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