Terry, Edin and Gordon are hygiene inspectors. Three takeaways, kebab, fish and chips and pizza. It is decided to share the work so that all inspectors will visit one takeaway each, chosen at random. List all the possible different ways they could share the work. (TK-EF-GP,

Question

Rosales

Mathematics

13 July, 22:16

Terry, Edin and Gordon are hygiene inspectors. Three takeaways, kebab, fish and chips and pizza. It is decided to share the work so that all inspectors will visit one takeaway each, chosen at random. List all the possible different ways they could share the work. (TK-EF-GP,

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Bridger · Answer 1

Answer: There are 6 different ways in which they can share the work.

Step-by-step explanation:

Suppose that Terry selects first the place where he goes, in the selection he has 3 options at random to chose.

Then Edin selects, Edin has two options (because one is already taken)

Then Gordon selects, he has only one options.

The number of combinations is equal to the product of the number of options for each selection, this is:

Combinations = 3*2*1 = 6

There are 6 different ways in which they can share the work.