Answer:

1. Write all the subsets of

a. A= {a} -----{a},{ }

b. B= {a, b} ---{a,b},{a},{b},{ }

2. We saw that C= {a, b, c} has 8 subsets.

{a,b,c},{a,b},{a,c},{b,c},{a},{b},{c},{ }

Investigate the number of subsets of a set of n elements. Line up the subsets A, B and C, one line below another, with the same subsets below each other . Study how the subsets of a set of two elements can be obtained from those of a set of one element; how the subsets of a set of three elements can be obtained from those of a set with two elements.

3. Do you see the pattern of how the new subsets are formed? Use the pattern to get the subsets of D from those of C, and the subsets of E from those of D, where

a. D= {a, b, c, d}

{a,b,c,d},{a,b,c},{a,c,d},{a,d,b},{b,c,d},{a,b},{a,c}, {a,d},{b,c},{b,d},{c,d},{a},{b},{c},{d},{ }

b. E= {a, b, c, d, e}

{a,b,c,d,e},{a,b,c,d},{a,b,c,e},{a,c,d,e},{a,d,e,b},{b,c,d,e},{a,b,c},{a,b,d},{a,b,e},{a,c,d},{a,c,e},{a,d,e},{b,c,d},{b,c,e},{b,d,e},{c,d,e},{a,b},{a,c},{a,d},{a,e},{b,d},{b,c},{b,e},{c,d},{c,e},{d,e},{a},{b},{c},{d},{e},{ }

Step-by-step explanation:

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