In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.
The equation for combination is,
nCr = n!/((n - r)!(r!))
nCr is read as "combination of n taken r".
Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005
Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.
Answer:
Mathematics is a branch of science which involves numbers,space and quantity.
Step-by-step explanation:
I hope this helps you in any way.Have a great day :)
"The intersection (∩) of a pair of sets (G and H) is a third set (I) composed by the elements that belong, at the same time, to both given sets."
According to this definition:
Given the sets:
G = {3, 7, 8, 9}
H = {2, 5, 7, 8}
The Intersection is:
G ∩ H = I = {7, 8}
:-)
√x + 9 - 4 = 1
√x + 5 = 1
√x = -4
√x = √-4
x = 2i
The first one is D because c represents the x and b represents the y. For the second one:
38(2) = 76
180-76 (this is the sum of the unknown measures)
104/2 (finds the measure of each angle)
52
I am unsure of the final one though.
Hope this helps!