1. Let A = {a,b, c, d, e, ƒ, g, h}. (a) How many subsets of A are there? That is, find |P(A)|. (b) How many subsets of A contain exactly 4 distinct elements? Explain. (c) How many subsets of A contain...

Extracted text: 1. Let A = {a,b, c, d, e, ƒ, g, h}. (a) How many subsets of A are there? That is, find |P(A)|. (b) How many subsets of A contain exactly 4 distinct elements? Explain. (c) How many subsets of A contain only consonants? Explain. (d) Recalling that a "word" is a just a string of letters and not necessarily an English word, how many "words" of length 4 can be made from the set A. Explain.