A soloist is auditioning for a musical play. If she is required to sin

1.	A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?
Answer» C(m, n) = \(\frac{n!}{m!(n-m)!}\) C(3, 7) = \(\frac{7!}{3!(7-5)!}\) = \(\frac{7\times6\times5\times4!}{3!\times4!}\) = \(\frac{7\times6\times5}{3\times2\times1}\) = 35 So, she make her choice in 35 ways.

A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?

Answer»

C(m, n) = \(\frac{n!}{m!(n-m)!}\)

C(3, 7) = \(\frac{7!}{3!(7-5)!}\)

= \(\frac{7\times6\times5\times4!}{3!\times4!}\)

= \(\frac{7\times6\times5}{3\times2\times1}\)

= 35

So, she make her choice in 35 ways.

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A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?

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