<h3>
Answer: 28</h3>
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Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
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Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
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Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.
Answer:
both angle will be 45°.
let the same angle be x.
90°+x+x=180°[angle sum property]
90°+2x=180°
2x=180°-90°
2x=90°
x=90°/2
x=45°
so, other angles are 45° and 45°
Answer:
n=64 and n+1=65
Step-by-step explanation:
64 + 65 equals 129
Answer:
238 pages
Step-by-step explanation:
So you can set up a proportion for this one:
714pages/3minute=x pages/1minute
Solve for X by dividing 714 by 3 you get 238pages