11th grade maths

+4 votes
126 views
asked Jan 7, 2017 in Mathematics by Vall20 (25 points) 1 3
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

1 Answer

+4 votes
answered Jan 7, 2017 by Abhishek Kumar (14,593 points) 5 9 35

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.

commented Jan 7, 2017 by sarthaks (25,122 points) 9 24 36
If there is no restriction, then there will be 4! ways of sitting arrangement.

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