3. A soloist is auditioning for a musical play. If she is required to sing any three of the 8 prepared songs, in how many ways can she make her choice?
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The answer to this problem is 112 ways.
This is a combinatorial problem. Therefore, we will use the equation -
C (3, 8) =
= 
= (cancel out 5!) 
= (multiply 8, 7, 6 = 336) (multiply 3,2,1 = 6) (divide 336 by 3) = 
Therefore, she can make her choice in
ways.