(a) State the symmetry property satisfied by the binomial coefficient . (b) Using…

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

(a) State the symmetry property satisfied by the binomial coefficient

^{n}C_{r}

. (b) Using this property, rewrite

^{98}C_{95}

as a binomial coefficient whose lower index is less than or equal to

3

. (c) Calculate the exact numerical value of

^{98}C_{95}

, showing all cancellation steps clearly.