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81

<p>The answer is (E) 14.
Seeing as how the question doesnt say where exactly LM and MN are positioned...all you know for sure is that LM and MN are connected.</p>

<p>If it was L----M----N, then LN should be an easy 7 + 8 = 15, but thats not an answer choice.
If it was N--L------M, then LN would be 8-7 = 1. This too does not work.</p>

<p>Therefore, it could be a triangle.
One of the properties of a triangle is the triangle inequality theorem, which states that the sum of any two sides must be greater than the third. If LM and MN were sides of a triangle, LN must be less than their sum of 15. The only answer that fits this is 14.</p>

82

<p>Excellent, thanks a lot.
I also refer to a triangle, rather than continous linear pattern, but I forget that inequality theorem and instead assume the triangle as a right triangle, so I can use Pythagoras Theorem, what a horrid mistake in logical thinking, thanks again</p>

83

<p>The Acme Plumbing Company shall send a team of 3 plumbers to work on certain job. The company has 4 experienced plumbers and 4 trainees. If a team consists of 1 experienced plumber and 2 trainees, how many different such teams are possible?</p>

84

<p>if theres 1 exp and 2 trainees. Lets just say the first experianced is A, and the trainees are 1 2 3 4.</p>

<p>Possible:
A, 1, 2
A, 1, 3
A, 1, 4
A, 2, 3
A, 2, 4
A, 3, 4</p>

<p>6 possible...and there will be 6 possible for each "team" so 6*4= 24</p>

<p>4 because A is the 1st experianced, and B is the 2nd, C 3rd, D 4th..so B, C, D
will have the same number of outcomes as A.</p>

85

<p>For the plumber one its 12 + 4 = 16 rite guys.</p>

<p>nvm i guess i was wrong.</p>

86

<p>I think I figure out a better method, Jinks.
Let called the task of choosing experienced guy and two trainees are seperated events:</p>

<hr>

<p>Choosing Experienced Choosing Trainee Choosing Trainee</p>

<p>The first task is easy since it supposes to be 4 for the total.
The second task is a bit harder, since if I pick out that 1 Trainee, I am left 3.
so 4 * 4 * 3 = 48. This means I have double counted those two trainees, I divide 48 by 2 and get the answer: 24</p>

87

<p>

<a href="http://i191.photobucket.com/albums/z119/Boleslaw_I/untitled-16.jpg%5B/IMG%5D"&gt;http://i191.photobucket.com/albums/z119/Boleslaw_I/untitled-16.jpg

</a></p>

<p>Please help!</p>