Math Question Help

<p>This question is from Test #5 of The Official SAT Study Guide, it is found on page 657 (section 3).</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 experiences plumbers and 2 trainees, how many different such teams are possible?"</p>

<p>The answer is 24, but I keep on getting 48.</p>

<p>Can someone please explain?</p>

<p>Also, the difficulty level is Hard.</p>

<p>(4 C 2) (4 C 1)</p>

<p>(6) (4)</p>

<p>24</p>

<p>Thanks, I was doing the method taught in Cracking the SAT, but it does not work for this problem.</p>

<p>4(ncr (4,2)) = 24.</p>

<p>Or if you dont understand combinations and permutations (like me) spend an extra 15 secs and write it out. </p>

<p>each experienced is numbered, inexp is lettered.</p>

<p>1- AB, AC, AD, BC, BD, CD
2
3
4</p>

<p>6x4= 24</p>