Question

given a set a = { 6, p, m, i, g, h, n }, answer the following questions:
a. find the number of subsets of a
b. find the number of proper subsets of a

Explanation:

Step1: Count elements in set A

Count distinct elements: $n(A) = 7$

Step2: Calculate total subsets

Use formula $2^k$ where $k=n(A)$: $2^7 = 128$

Step3: Calculate proper subsets

Subtract 1 from total subsets: $128 - 1 = 127$

Answer:

a. 128
b. 127