Power Set - Relation To Binomial Theorem

Relation To Binomial Theorem

The power set is closely related to the binomial theorem. The number of sets with elements in the power set of a set with elements will be a combination also called a binomial coefficient.

For example the power set of a set with three elements, has:

  • set with 0 elements
  • sets with 1 element
  • sets with 2 elements
  • set with 3 elements.

Read more about this topic:  Power Set

Famous quotes containing the words relation to, relation and/or theorem:

    We must get back into relation, vivid and nourishing relation to the cosmos and the universe. The way is through daily ritual, and is an affair of the individual and the household, a ritual of dawn and noon and sunset, the ritual of the kindling fire and pouring water, the ritual of the first breath, and the last.
    —D.H. (David Herbert)

    Only in a house where one has learnt to be lonely does one have this solicitude for things. One’s relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.
    Elizabeth Bowen (1899–1973)

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)