<p>From a group of 6 juniors and 8 seniors on the student council, 2 juniors and 4 seniors will be chosen to make up a 6-person committee. How many different 6-person committees are possible?</p>
<p>the explanation says (6 2) =15 ways for juniors and (8 4)= 70 ways for seniors, but how do u solve this on the calculator? is this a matrices problem ?</p>
<p>since order doesn't matter you'd use nCr on your calculator. (for a ti 83 plus you go to math>>>prb>>>nCr)</p>
<p>the notation of (6 2) refers to using the formula for it, which you can find on the sparknotes review page of math II probablity. </p>
<p>to use your calc to figure it out, you type the following in:</p>
<p>6 nCr 2 ENTER
and BAM there's your answer</p>
<p>and then do the same for the others</p>
<p>8 nCr 4</p>
<p>the first number is the number of total, the last number is the number selected. </p>
<p>if you go to the prb menu to find nCr you'll also see nPr, do NOT confuse the two, nPr would be used in a problem like the one you have BUT, it would matter what order they'd be chosen in.
for instance, if the council was to be made up of a president, vp, secretary, treasurer, etc. the order they'd be chosen in WOULD matter, hense you'd use nPr. </p>