You could make a pyramid. Or you could make a rectangle shape. A cone would be unique.
8
36
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.
come off it! There are 36 x 35 x 34 x 33 x 32 different arrangements!
6 and 6
1 time
8
36 times
You can have: 1 row of 36 2 rows of 18 3 rows of 12 4 rows of 9 or 6 rows of 6, so in total there are 5 ways.
36
36 cans, algebra 1....
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.
come off it! There are 36 x 35 x 34 x 33 x 32 different arrangements!
6 and 6
2 rows of 18 squares3 rows of 12 squares4 rows of 9 squares6 rows of 6 squares9 rows of 4 squares12 rows of 3 squares18 rows of 2 squares36 rows of 1 squareI would not count "1 row of 36 squares", because you only have a single row that cannot equal another row (there is only one rowafter all). If this is for homework, I would state your reasoning for excluding (or including) that set. Count all the options up, and you have 8 different ways you can arrange the rows with the exclusion.
x = number of cans of corn y = number of cans of tomatoes x+y = 36 x(.40) + y(.80) = 20.80 x=26 y=13
36 x 1 18 x 2 12 x 3 9 x 4 6 x 6