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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Calculate COP value of the reversible refrigeration system and determine the new size of the compressor, in W, that will be suitable for the reversible refrigeration system of this water cooler.
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