The ratio of dressing to vegetable in its reduced form is determined by dividing the amount of dressing by the amount of vegetables. This will give us the answer of,
2 c / 4 lb
In its simplest form, we divide both the numerator and denominator by 2 and the final answer would be,
1 c / 2 lb
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!