Answer:
The power set of a set B = {a, b, c, d, e, f, g} is the set of all possible subsets of B.
In mathematical notation, the power set of B is represented as P(B).
The number of elements in the power set of B is 2^n, where n is the number of elements in B. In this case, n = 7, so the number of elements in P(B) = 2^7 = 128.
The power set of B is:
{{}, {a}, {b}, {c}, {d}, {e}, {f}, {g}, {a, b}, {a, c}, {a, d}, {a, e}, {a, f}, {a, g}, {b, c}, {b, d}, {b, e}, {b, f}, {b, g}, {c, d}, {c, e}, {c, f}, {c, g}, {d, e}, {d, f}, {d, g}, {e, f}, {e, g}, {f, g}, {a, b, c}, {a, b, d}, {a, b, e}, {a, b, f}, {a, b, g}, {a, c, d}, {a, c, e}, {a, c, f}, {a, c, g}, {a, d, e}, {a, d, f}, {a, d, g}, {a, e, f}, {a, e, g}, {a, f, g}, {b, c, d}, {b, c, e}, {b, c, f}, {b, c, g}, {b, d, e}, {b, d, f}, {b, d, g}, {b, e, f}, {b, e, g}, {c, d, e}, {c, d, f}, {c, d, g}, {c, e, f}, {c, e, g}, {d, e, f}, {d, e, g}, {e, f, g}, {a, b, c, d}, {a, b, c, e}, {a, b, c, f}, {a, b, c, g}, {a, b, d, e}, {a, b, d, f}, {a, b, d, g}, {a, b, e, f}, {a, b, e, g}, {a, c, d, e}, {a, c, d, f}, {a, c, d, g}, {a, c, e, f}, {a, c, e, g}, {a, d, e, f}, {a, d, e, g}, {b, c, d, e}, {b, c, d, f}, {b, c, d, g}, {b, c, e, f}, {b, c, e, g}, {b, d, e, f}, {b, d, e, g}, {c, d, e, f}, {c, d, e, g}, {a, b, c, d, e}, {a, b, c, d, f}, {a, b, c, d, g}, {a, b, c, e, f}, {a, b, c, e, g}, {a, b, d, e, f}, {a, b, d, e, g}, {a, c, d, e, f}, {a, c, d, e, g}, {b, c, d, e, f}, {b, c, d, e, g}, {a, b, c, d, e, f}, {a, b, c, d, e, g},{a, b, c, d, f, g},{a, b, c, e, f, g},{a, b, d, e, f, g},{a, c, d, e, f, g},{b, c, d, e, f, g},{a, b, c, d, e, f, g}}