The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.
In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.
i.e 
= 
Red 6
Green 3
Yellow 3
Total 12
Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.
Thus, n = 12 and r = 3;

= 
= 
= 
= 12 x 11 x 10

= 1320
Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.
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Answer:
3
Step-by-step explanation:
Time taken by Michelle to complete the work alone = 6 hours
Time taken by Nancy to complete the work alone = 3 hours
Now, when they both are working on the same job for 1 hour,
Amount of job completed = (1/6) + (1/3)
= (1 + 2)/6
= 3/6
= 1/2
So in 1 hours time they both will complete half of the job. Then in 2 hours Michelle and Nancy will complete the total job. I hope the answer has come to your help.
Answer:
1/8
Step-by-step explanation:
The diagram is a "mapping diagram" that describes a function? The function pairs numbers from the set on the left with numbers from the set on the right. "Domain" refers to the numbfers on the left, where the arrows come FROM. (Some people describe this as a mapping of x to y, with x on the left and y on the right.) The answer is B.