Answer:
When we have a set of N elements, the number of combinations of K elements (such that N ≤ K) from these N elements is:
Then if we have 8 different types of carpet, and we want to see how many different samples of 3 types we can choose, we just need to replace N by 8, and K by 3 in the above equation:
So there are 56 different samples.
Now we can do the same, but this time we want to use 5 types of carpet, then we will have K = 5.
Again, we have 56 different samples.
2x+6x+8=32
8x+8=32
-8 =-8
8x=24
8/8=x 24/8 =4
x=4
Answer:
36
Step-by-step explanation:
split it into half, and you'll see that each rectangle when split into half has 2 triangles that are 12 ft, and now AECD is 3 lots of those 12 triangles that is 12 feet in area, therefore total would be 12 x 3 = 36
Answer:
15 < n < 25
Step-by-step explanation:
According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the <em>possible length of the 3rd side given other two sides (let two given sides be x and y)</em>, we can say that the 3rd side length will be between x+y and x-y.
Hence, we can say that <em><u>n should be between 20+5 and 20-5</u></em>.
So, 20 - 5 < n < 20 + 5, which is
15 < n < 25
<em>This is the correct answer.</em>
