There are infinitely many groups. Some examples are given below.
Additive:
(1, 1, 1, 3)
(1.1, 1.1, 1.1, 2.7)
(-1, 1, 1, 4) etc
Multiplicative:
(1, 1, 1, 6)
(2, 2, 2, 0.75)
(3, 3, 3, 6/27) etc
You could, of course, have Irrational Numbers.
numbers are less than or equal to 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and all the negative numbers
4 and 2/10 + 3 and 3/10
the two numbers are 14 and - 4.
Not counting negative numbers (which would give you an infinite number of ways of adding numbers together to equal 10), there are 6 different ways (permutations) of adding numbers together to equal 10. 0 + 10 1 + 9 2 + 8 3 + 7 4 + 6 5 + 5
Of the numbers in that list, the perfect squares are 4 (equal to ±22), 9 (equal to ±32), 16 (equal to ±42) and 25 (equal to ±52).
they can be 2 groups of 16, 4 groups of 8, 8 groups of 4, or 16 groups of 2
-66
numbers are less than or equal to 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and all the negative numbers
3 + 4 + 5 - 2 = 10
5,5, and 4
4 and 2/10 + 3 and 3/10
the two numbers are 14 and - 4.
2 and 10 or 4 and 5
To divide a class of 32 students into groups with equal numbers of students, you would need to find the factors of 32. The factors of 32 are 1, 2, 4, 8, 16, and 32. Therefore, you can divide the class into 1 group of 32 students, 2 groups of 16 students, 4 groups of 8 students, 8 groups of 4 students, 16 groups of 2 students, or 32 groups of 1 student. So, there are 6 ways to divide the class into groups with equal numbers of students.
14
Not counting negative numbers (which would give you an infinite number of ways of adding numbers together to equal 10), there are 6 different ways (permutations) of adding numbers together to equal 10. 0 + 10 1 + 9 2 + 8 3 + 7 4 + 6 5 + 5
She can have 1 group of 40, 2 groups 0f 20, 4 groups of 10, 8 groups of 5, 5 groups of 8 10 groups of 4, 20 groups of 2 or 40 groups of 1. This assumes that you don't want any partial books in any of your groups.