If a , b and c are the greatest values of C p 19 , C q 20 and C r 21 respectively, then:

If a,b and c are the greatest values of Cp19,Cq20 and Cr21 respectively, then:
  1. a11=b22=c21
  2. a10=b11=c21
  3. a11=b22=c42
  4. a10=b11=c42

Solution

We know that, nCr is maximum at middle term.

a=19Cp=19C10=19C9

b=20Cq=20C10

c=21C6=21C10=21C11

Hence,

a19C9=a2010.19C9=a2111.2010.19C9

a1=b2=c4211

a11=b22=c42

Asked in: JEE Main 2020 (08 Jan Shift 1)

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