How many subsets does the set D={c,a,t}D={c,a,t} have?

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=8Hence, the number of all possible subsets of D is 8.