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Andru [333]
3 years ago
9

You are making treat bags for a birthday party. You have made 3 bags

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer is 54

1  | 6

2 | 12

3 | 18

4 | 24

5 | 30

6 | 36

7 | 42

8 | 48

9 | 54

Hope this helps

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4. [5 pts] Describe how and why the formula for permutations differs from the formula for combinations.
ivann1987 [24]

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 P(n,r)=\frac{n!}{(n-r)!}, 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:

n(n-1)(n-2)...(n-r+1)

If n!=n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1) and (n-r)!=(n-r)(n-r-1)(n-r-2)...(1)

\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}

The factor equals above and under cancel each other.

\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}\\\frac{n!}{(n-r)!}=n(n-1)(n-2)...(n-r+1)

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: r(r-1)(r-2)...(1)=r!. 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 C(n,r)=\frac{n!}{r!(n-r)!}.

4 0
4 years ago
Select all the steps to apply when adding mixed numbers
Anika [276]

Answer:

1) Find the Least Common Denominator (LCD)

2) Find the equivalent fractions.

3) Add or subtract the fractions and add or subtract the whole numbers.

4) Write your answer in lowest terms.


3 0
3 years ago
find the area of the shaded region a.112 square units b.76 square units c.96 square units d.192 square units
Yakvenalex [24]
The answer should be 56
4 0
4 years ago
PLS SOLVE ASAP!!!
cupoosta [38]
180 + 30x = 60 + 50x
⇒ 20x = 120
⇒ x = 6 minutes

<span>it will take 6 minutes for Millie to catch up with Ben</span>

3 0
3 years ago
What is the process of solving sequential pattern C,D,F,G,J,K,O,P,__
maw [93]

C, D, (skip E)

F, G, (skip H and I)

J, K, (skip L, M, and N)

O, P, ...

If the pattern the continues, then the next four letters (Q, R, S, and T) in the alphabet would be skipped and the next letter in the sequence would be U, then V, etc.

8 0
3 years ago
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