Question 894693
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For our selection of balls:

we can choose either 1, 2, 3, or 4 red balls.  That's 4 choices.

To go with them, we can choose either 0, 1, 2, 3, 4, or 5
black balls. That's 6 choices.

Answer: 4x6 = 24 choices which contain at least one red ball. 

Edwin</pre>