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Q: How do you arrange 6 sticks that each touch the other five?
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How do you arrange 6 pencils so that each one touches the other five?

Yes , it is possible because you can put the tips of each pencil together almost creating a star but they all touch within the center.


May is using 35 sticks to make squares none of the squares can touch each other what is the greatest number of squares she can make?

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To arrange 3 algebra books and 3 geometry books on a shelf so that no two books of the same type are next to each other, you can use the concept of permutations. There are 3! ways to arrange the algebra books and 3! ways to arrange the geometry books. This gives a total of 3! * 3! = 36 ways to arrange the books on the shelf such that no two books of the same type are next to each other.


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