Answer:
They are different because of the order in the permutation matters. In combination, the order doesn't matter. In other words in a permutation 123 and 132 are different but in a combination are the same group (they have the same digits 1,2, and 3).
Step-by-step explanation:
The formula of the permutation is 
, when you are performing a permutation you pick r objects from a total of n, for the first pick you can choose from n, but for the second you have n-1, and this continues to your pick number r in which you will choose from n-r+1, and the total of permutation is the multiplicación of this number of choices for each pick, like this:
If 
and 
The factor equals above and under cancel each other.
In combination, the order of the element isn't important, so from the total of permutation you have to eliminate the ones with the same objects with different order and counting just once each group, when choosing r objects the total of permutation for a single group of r objects is: 
. If you divide the total of permutations of n taking r by r! you get the combinations (where the order is not important). The formula of the combination is 
.
Bart recieved 20 votes.
Since 20 is two times more than 10 and 20 + 10= 40, Bart recieved 20 votes while Kaleb recieved 10.
Lets divide the problem in parts, first for sandwiches she used 3/4 out of 20 ounces of ham:
(3/4)(20) = 60/4 = 15
so for sandwiches Lauren used 15 ounces
Then for omelete she used 1/5, that is:
(1/5)(20) = 20/5 = 4
then Lauren used 4 ounces for omelete
So Lauren used 15 ounces for sandwiches and 4 ounces for omelete, that is 19 ounces in total, so there are left from the 20 original ounces:
20 - 19 = 1
there is 1 ounce of ham left
Answer:63
Step-by-step explanation:
