Answer:

Step-by-step explanation:
Given
5 tuples implies that:

implies that:

Required
How many 5-tuples of integers
are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:



Expand the numerator




<u><em>Solved</em></u>
Answer:
Step-by-step explanation:
an intersection is a point, line, or curve common to two or more objects
If (y-1) is a factor of f(y), f(y)=0 when y=1. So if you find that f(1)=0, then (y-1) is a factor of f(y).
f(y)=y^3-9y^2+10y+5
f(1)=1-9+10+5=7
Since f(1)=7, (y-1) is not a factor.