Question

Let S = {a, bb} and T= {a, ab} then ST =?

a)ST = {aa, aab, bba, bbab}
b) ST = {a, bb, a, ab}

Answer 1

The product ST of the sets S = {a, bb} and T = {a, ab} is calculated by concatenating each element of S with each element of T, resulting in ST = {aa, aab, bba, bbab}.

Step-by-step explanation:

Understanding Set Operations with S and T

When two sets S and T are given, such as S = {a, bb} and T = {a, ab}, the product ST is defined as the set of all possible concatenations where each element of S is followed by each element of T. To perform this operation, we take each element of S and concatenate it with each element of T. This gives us the following results:

• a from S concatenated with a from T gives 'aa'
• a from S concatenated with ab from T gives 'aab'
• bb from S concatenated with a from T gives 'bba'
• bb from S concatenated with ab from T gives 'bbab'

Thus, the product ST = {aa, aab, bba, bbab}. This clearly shows how the elements from the first set S combine with those from the second set T, creating a new set with all possible pairs of elements from S and T.