Pascal wants to ride his bike to and from school 3 days a week. His house is 2.58 kilometers from his school. How many meters wi
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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 answer is A. Let us assume that A=(2,2), B=(-2,-1) and C=(2,-4). We have to find the length of each side (kindly refer to image uploaded for the formula). Side AB is 5, Side BC is 5, and Side AC is 6. Using the formula of finding the perimeter of the triangle, P=Side AB+Side BC+Side AC, the answer will be 16.
