<PRE><B>Question 1196111</B>
&lt;br&gt;
Using the basic definition of &quot;n choose r&quot;....&lt;br&gt;
(1) Choose 2 of the 5 nickels AND 2 of the 8 dimes AND 1 of the 7 quarters:&lt;br&gt;
{{{C(5,2)*C(8,2)*C(7,1)=10*28*7=1960}}}&lt;br&gt;
(2) Choose any 5 of the 5+8+7=20 coins:&lt;br&gt;
{{{C(20,5)=15504}}}&lt;br&gt;
(3) Using the basic definition of probability:&lt;br&gt;
{{{1960/15504}}}&lt;br&gt;
Simplify the fraction or convert to a decimal or percent as needed....&lt;br&gt;
</PRE>