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I think if AM or BN >/= AB or MN then AMACBNB is shorter and vis a versa because AMACBNB IS 4*HEIGHT+2*BASE AND ACMNCB IS 4*BASE + 2*DIAGONAL in given fig.
budy if one wants to arrange n objects in a circular positions symmetrickely then he can do it in n-1! ways which is this case as we can diffrenciate between clockwise and anti clockwise because of diffrent species of trees.
with this logic the
ans 1 will be 8!
and ans 2 will be 7!x 2/ 8!
check it up n then write u r comment and if u r ans is not this then if possible give your answer in detail so that i can correct my approach.
first que ans will be 9! as first will have 9 options ,second will have 8 and so on.
second que ans will be 8! x 2/ 9! as two trees can be planted together in 8! x 2 ways. it can be done by assuming two trees as one then we can do this in 8! ways and their places can be interchanged hence should be multiplied by 2.
hope my solution is satisfactory.
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