content area top Part 1 Determine whether the following statement makes sense or does not make sense, and explain your reasoning. Every time I increase the number of elements in a set by one, I double the number of distinct subsets. Question content area bottom Part 1 The statement does not make sense. makes sense. Let the initial number of elements of a set be n; then the number of distinct subsets is n squared . 2 n. 2 Superscript n Baseline . If the number of elements in a set increases by one, the new total number of elements is nplus1, resulting in 2 left parenthesis n plus 1 right parenthesis left parenthesis n plus 1 right parenthesis squared 2 Superscript n plus 1 distinct subsets. Thus, the number of distinct subsets increases by 2. increases by 2 n plus 1. halves. doubles