What is meant by inertia
2 answers:
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<h3>Answer: 680 different combinations</h3>
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Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is
where the exclamation marks indicate factorials
The number of cups of fruit salad that will be in each container is; 3³/₄ cups of fruit salad
<h3>How to divide fractions?</h3>We are given the table showing the amount of cups of each ingredient as attached.
From the table we see that;
Amount of cups of Pineapple = 2³/₄
Amount of cups of Strawberries = 2¹/₂
Amount of cups of Bananas = 1¹/₂
Amount of cups of Blueberries = 2¹/₄
Now, converting each of the given fractions to improper fractions gives;
11/4, 5/2, 3/2, 9/2
Summing up all the fractions will give us;
11/4 + 5/2 + 3/2 + 9/2
(1/4)(11 + 10 + 6 + 18) = 45/4
Now, since this total amount will be divided by 3, we will have;
45/4 ÷ 3
= 45/4 * 1/3
= 15/4 = 3³/₄ cups of fruit salad
Read more about Dividing Fractions at; brainly.com/question/1622425
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