Question 46732
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The traveling squad for a basketball team consists of two centers, five forwards, and four guards. 
In how many ways can the coach select a starting team of one center, two forwards, and two guards?
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        The answer in the post by @consc198 is  FATALLY  and  TOTALLY  wrong.

        For a correct solution,  see what follows.



<pre>
The coach can select one center from two centers in 2 different ways.

The coach can select two forwards from five forwards in C(5,2) = {{{(5*4)/2}}} = 10 different ways.

The coach can select two guards from four guards in C(4,2) = {{{(4*3)/2}}} = 6 different ways.


So, according to the fundamental counting principle , the coach can combine the starting team in

    2*10*6 = 120 different ways.


<U>ANSWER</U>.  The coach can select the starting team in 120 different ways.
</pre>

Solved correctly.



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I just said it several times before that @consc198 has no qualification to be a tutor.

In many cases, he does not understand what he writes and simply deceives readers without any hesitation.

Such people must be disgracefully expelled from the profession.