Answer:
1 and 2/5 yards wastes only 1/15 a yard
Step-by-step explanation:
1 and 1/6 yards would make a waste of 1 and 1/6 yards since you can't make a ribbon out of it. (incorrect)
1 and 2/10 yards would make a waste of 1 and 1/5 yards since you can't make a ribbon out of it. (incorrect)
1 and 2/5 yards

Wastes 1/15 a yard.
1 and 1/2 yards

It wastes 1/6 a yard.
2 yards

It wastes 4/6 a yard.
Answer:
6 hours
Step-by-step explanation:
180 divided by 30 = 6
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.
We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3
Overall, there are 10*9*8 = 90*8 = 720 different permutations
Answer: 720
Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer