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29-12-2017
Mathematics

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In how many different ways can 7 people sit on a bench if two a and b must sit next to each other

Respuesta :

04-01-2018

Firstly, consider a and b as one person. Then the number of permutations of 6 people taken six at a time is:
[tex]6\times5\times4\times3\times2\times1=720.[/tex]
But for each of these combinations there are two ways in which a and b can sit together. Therefore the total number of permutations of the 7 people is given by:
[tex]720\times2=1440.[/tex]
The answer is: 1440 ways.

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