Solution:
The permutation formula is expressed as
The combination formula is expressed as
where
Given that 6 objects are taken at a time from 8, this implies that
Thus,
Number of permuations:
Number of combinations:
Hence, there are 28 combinations and 20160 permutations.
Answer:
similar triangles
Step-by-step explanation:
First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.
From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:
The answer is 3. 4 because 4 doesn’t have a variable :)
Answer:
Step-by-step explanation: In isosceles triangle ABC, AB = BC.(2) Bob does his homework if and only if George gets candy.What is the length, to the nearest tenth, of the line segment joining 1.25000. (3) 151.9. (-4-146)2+(2-5272. 6. What is the slope of a line perpendicular to the line whose MLABC = (2x+10), find mLACB. C. rectangular box has a base that is a rectangle with are 10 and 6, find the height of the trapezoid. c) 6. 8) In triangle ABC, the measure of angle A is 60 degrees. If the measure of angle B is 12) Square ABCD, above, has coordinates: C(-2, 2) and D(-2, -2).
Hope this helped!
