In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls?
Choose the correct choice from the following answers
A) 24 B) 26 C) 46 D) 49 E) 50
Selecting at least 3 black balls from a set of 5 black balls in a total selection of 5 balls can be   3 B and 2 R   4 B and 1 R and   5 B and 0 R balls.   Therefore, our solution expression looks like this.   5C3 * 3C2 + 5C4 * 3C1 + 5C5 * 3C0 = 46 ways.   46
<result>C</result>
In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls?