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JEE MATHEMATICS MCQ: COMBINATIONS

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Analyzing +4 | -1

If

a,\,b

and

c

are the greatest values of

^{19}{C_p}{\,^{20}}{C_q}

and

^{21}{C_r}

respectively, then

View answer and explanation

Correct option: D

\frac{a}{{11}} = \frac{b}{{22}} = \frac{c}{{42}}

Option D (

\frac{a}{{11}} = \frac{b}{{22}} = \frac{c}{{42}}

) is correct because by finding the greatest values of the binomial coefficients, we can establish the ratios between

a

,

b

, and

c

.

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{\;^{n + 2}}{C_8}:{\;^{n - 2}}{P_4} = \frac{{57}}{{16}}

n