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From a set of n people a committee of size j jltn is to be

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From a set of n people, a committee of size j, j<n, is to be chosen, and then a subcommittee of size i, i < j, is to be chosen. Derive a combinatorial identity for the number of subcommittees and subcommittees by

(a) looking at the number of subcommittees first; then

(b) looking at the number of committees first.

Prove your identity algebraically.

Reference no: EM13608379

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