kind of dumb math question

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1

<p>BB math test, problem 15 is</p>

<p>The acme plumbing company will send a team of 3 plumbers to work on a certain job. The company has 4 experienced plumbers and 4 trainees. If a team consists of 1 experienced plumber and 2 trainees, how many diffeernt such teams are possible.</p>

<p>Obviously, there are 4 diff ways to have the experienced plumber, but for the inexp wouldnt it be</p>

<p>1st plumber: 4 choices 2nd plumber: 3 choices, and if you multiply its 12?</p>

<p>thats not the way apparently, why so?</p>

2

<p>First find the number of combinations of two junior plumbers are possible, which is equal to 3<em>2</em>1. Then multiply that by the number of senior plumbers.</p>

3

<p>yea, i get the multiplying the two probabilities. Why is the junior plumber part of the problem 3<em>2</em>1
instead of </p>

<p>4*3?</p>