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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Step-by-step explanation:
Fabric will run you from $1/yd to upwards of $20/yd, depending on what you want. If you're looking for a fairly basic fabric, you're probably going to pay around $5-8 a yard. Patterns have gotten really pricey, but here's a trick--always buy them on sale. Most fabric stores will have one or two pattern brands on sale for a couple bucks a piece at any given time, which beats the heck out of paying $20 for one. Thread is around $2.50 a spool (can be higher, depending on quantity and material), and I want to say a zipper will run somewhere in the vicinity of $3, depending on size and type.
Depending on your fabric, you're probably looking at around $25-30 total.
