A singer/performer 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? solutions:we need to use the combination formula since order does not matter.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A singer/performer 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?

  • solutions:we need to use the combination formula since order does not matter.

      n!     

r!(n-r)!

   7!        

3!(7-3)!

7×6×5×4×3×2

(3×2)(4×3×2)

    5040   

    144      

=   35ways            

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