Respuesta :
Answer:
The number of all possible subsets of D is 8.
Step-by-step explanation:
Consider the provided set D={c,a,t}
The subset of D contains no elements: { }
The subset of D contains one element each: {c} {a} {t}
The subset of D contains two elements each: {c, a} {a, t} {c, t}
The subset of D contains three elements: {c, a, t)
Hence, all possible subsets of D are { }, {c}, {a}, {t}, {c, a}, {a, t}, {c, t}, {c, a, t}
Therefore, number of all possible subsets of D is 8.
Or we can use the formula:
The number of subsets of the set is [tex]2^n[/tex] If the set contains ‘n’ elements.
There are 3 elements in the provided set, thus use the above formula as shown:
2³=8
Hence, the number of all possible subsets of D is 8.
