photograph confusion
In how many ways can a family consisting of a mother, two sons and two daughter in law be arranged for a photograph satisfying the following conditions ?
(i) There are only 3 chairs, so 2 persons have to stand behind.
(ii) The mother is to occupy the central chair.
(iii) Either bothe the daughter in law sit in chairs or both of them are to stand behind.
The answer is 8.
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1 solution
Don't include their dad by seeing the picture, it's just to divert you...
Given mother sits on the central chair, we will fix her on the central chair..
Now, let the two sons be S 1 & S 2 while the two daughter in laws be D 1 & D 2
Now, if the sons sit in front while the in laws stand at the back,
They can be arranged in 2 ! × 2 ! = 4 ways
Now if the in laws sit in front while the sons stand at the back,
They can be arranged in 2 ! × 2 ! = 4 ways
Therefore, total arrangement for taking the photograph is 4+4
= 8
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