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+4 votes
3.3k views
in Mathematics by (25 points)
four children anne,jordan,david & katie are to be seated in a single row on a bench,

if Anne must always sit on the left hand side,write all the possible seating arrangements

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1 Answer

+4 votes
by (9.4k points)

Solution : We have given Four children anne,jordan,david & katie are to be seated in a single row on a bench. Now to find sitting arrangements we need to put first Anne in the left, so, there will be two possible ways for Anne to sit:

Anne, child, child, child

or

child, Anne,  child, child.

Then we must have in mind also that in each place we should put one of the 3 children left so there will be 2 times 3! ways of arrange them

If the question say's left and means that 'left with respect to all others' then it is just the first case and we will have 1 times 3! ways to arrange them.

Anne, child, child, child.

by (12.7k points)
If there is no restriction, then there will be 4! ways of sitting arrangement.

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