there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6.
What is the combination?
In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.
There are a total of 6 players in the round-robin racquetball tournament, which means that each player will play a set against each of the other 5 players.
To determine the total number of sets that need to be played, we can use the combination formula:
nC₂ = (n*(n-1))/2
where n is the number of players.
In this case, n = 6, so:
6C₂ = (6*(6-1))/2 = 15
Hence, there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6:
Brian vs. Josh
Brian vs. Chad
Brian vs. Jordan
Brian vs. Ryan
Brian vs. Rachel
Josh vs. Chad
Josh vs. Jordan
Josh vs. Ryan
Josh vs. Rachel
Chad vs. Jordan
Chad vs. Ryan
Chad vs. Rachel
Jordan vs. Ryan
Jordan vs. Rachel
Ryan vs. Rachel
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x2-36
10.) Reduce the ratio, x2 +4x-12
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Step-by-step explanation:
Simplify 15 − 10 x 8 x 3 − 12 x 2 \dfrac{15- 10x}{8x^3-12x^2} 8x3−12x215−10xstart fraction, 15, minus, 10, x, divided by, 8,