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Triss [41]
3 years ago
7

Twelve runners are competing in a race. In how many different ways can the first,second,and third place trophies be awarded

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
Since only one person can finish in first place, one in second, etc., the total number of placers is 12x11x10, or 1320 different ways the 12 racers can finish 1st, 2nd and 3rd....
☺☺☺☺
Tpy6a [65]3 years ago
6 0

1320 is the answer because its 12p3 and im just typing so i can reach 20 letters

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Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (
natka813 [3]

Answer:

For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.

A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

Step-By-Step Explanation:

U = {1, 2, 3, 4, 5}.

A={1,2}

B={2,3}

C={1,2 5}

For the Left Hand Side

B-C={3}

A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}

Likewise, the Right Hand Side:

(A ∪ B)={1,2,3}

(A ∪ C)={1,2,5}

(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}

Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

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3 years ago
Which ordered pair is a solution of the system of equation y=x-4
enyata [817]
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3 years ago
Which of the following statements is always true of similar polygons?
k0ka [10]
The correct answer among all the other choices is D. both (a) and (b). The statements that are always true of similar polygons are corresponding angles of similar figures have the same measure and the lengths of corresponding sides form equivalent ratios. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 
6 0
3 years ago
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Answer:

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3 years ago
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Answer:

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Step-by-step explanation:

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=x+4+3x-2+2x+1 --> Here I'm just bolding the variables. This makes it easier to combine like terms in the next line.

=6x+4-2+1

=6x+3

5 0
2 years ago
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