Using the combination formula, it is found that 120 distributions are possible.
In this problem, the order in which the items are distributed is not important, hence the combination formula is used to solve this question.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 7 items will be given to a set of 10 people, hence:
[tex]C_{10,7} = \frac{10!}{7!3!} = 120[/tex]
120 distributions are possible.
More can be learned about the combination formula at https://brainly.com/question/25821700
