There are 5 chairs. Tim and Jack want to sit such that Tim is alwalys left to Jack. How many arrangements are possible ?
Is the answer to this question - 10 or 60 ? Could someone please clarify ?
Thanks in advance
The question implies that there are 5 chairs and only 2 people, Tim and Jack. If that is the case, answer will be what Chris explained above. You select 2 chairs out of 5 and make Tim and Jack occupy them.
If instead, the question were that there are 5 chairs and 5 people and that Tim and Jack are 2 of those 5 people, then you are right. The answer would be 5!/2! because 5 people can occupy 5 chairs in 5! ways and Tim will be to the left of Jack in half of them.
For more on such questions, check:http://www.veritasprep.com/blog/2011/10 ... s-part-ii/
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