Derive a combinatorial identity
From a set of n people, a committee of size j, j (a) looking at the number of subcommittees first; then (b) looking at the number of committees first. Prove your identity algebraically.
(a) looking at the number of subcommittees first; then
(b) looking at the number of committees first.
Prove your identity algebraically.
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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
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