Find (a) the number of subsets and (b) the number of proper subsets of the following set. $\{d, e, f, g, h, i$,$\} .$ a. The number of subsets is (Type a whole number.)

Step 1 ：The number of subsets of a set is given by the formula \(2^n\), where n is the number of elements in the set. In this case, the set has 6 elements.

Step 2 ：Substitute n = 6 into the formula: \(2^6\).

Step 3 ：Calculate \(2^6\) to get the number of subsets: \(2^6 = 64\).

Step 4 ：\(\boxed{64}\) is the number of subsets of the set.

Step 5 ：The number of proper subsets of a set is given by the formula \(2^n - 1\), where n is the number of elements in the set. In this case, the set has 6 elements.

Step 6 ：Substitute n = 6 into the formula: \(2^6 - 1\).

Step 7 ：Calculate \(2^6 - 1\) to get the number of proper subsets: \(2^6 - 1 = 63\).

Step 8 ：\(\boxed{63}\) is the number of proper subsets of the set.