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Aleksandr [31]
3 years ago
7

(Sorry for the lighting) Help Fast!!!! Please!!!!!

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

1 is 60 2 is 60 and 3 is 119

Step-by-step explanation:

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A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
PLEASE HELP 8th GRADE MATH
posledela

Answer:

I'm going to say C

it looks the most reasonable to me

7 0
3 years ago
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hol
kodGreya [7K]
First you would put both numbers into improper fractions.

3 1/3 = 10/3 and 2 1/4 = 9/4

Multiply 10/3 * 9/4

10*9 = 90 and 3 * 4 =12

So 90/12 is your fraction. Reduce it, 7 6/12

7 6/12 = 7 1/2

So your answer is 7 1/2

Hope I helped :)
7 0
3 years ago
OA is congruent to ____.
viva [34]

Answer:

OF

Step-by-step explanation:

Since the arcs are congruent, the lines intercepting them are congruent, and you will get 2 congruent right triangles. So OA is congruent to OF by CPCTC.

7 0
3 years ago
Which of the following is the converse of the statement "If it is summer, then
Sergeu [11.5K]

Answer:

This is english not math but.....

If it is warm outside, then it is summer.

Step-by-step explanation:

Basically just switch the terms and make it grammatically correct.

5 0
3 years ago
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