Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is
.
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in
ways.
We conclude that there are 70+70=140 required subsets of S.
Answer:
24 square units
Step-by-step explanation:
For Trapezoid
a = 8
b = 4
h = 4
Area of Trapezoid
<em><u>A = a + b/2 * h</u></em>
= 8 + 4/2 * 4
= 12/2 *4
= 6 * 4
= 24
Thus, the area of the trapezoid is <em><u>24 square units</u></em>
Answer:
I’m not sure on b and c but did a for u
Step-by-step explanation:
A) the more the workers are working the more the products are made. This is because if 10 workers make 52 products and 90 people make 452 then 100 people can make 502 products.