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Question

Evaluate r=020r2Cr20


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Solution

Step 1. Solve the given expression.

r=020r2Cr20

=r=120r2.20rCr-119

=20r=120rCr-119

Step 2. By adding and subtracting 1, we get

=20r=120r-1+1.Cr-119

=20r=120r-1.Cr-119+r=120Cr-119

=20r=220r-1.19r-1Cr-218+r=120Cr-119

=20r=22019Cr-218+r=120Cr-119

=2019(2)18+219

=20.21819+2

=20.21.218

Hence, the solution of r=020r2Cr20 is 20.21.218


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