Question

) If A is the set of letters in the word ‘MISSISSIPPI’, find:

[3]

(i) Set A

(ii) n(A)

(iii) Number of its subsets​

Answer 1

Step-by-step explanation:

(i) Set A =

A = { M,I,S,P}

(ii) n(A) = 11

(iii) number of subsets = {M} , {I}, {S} , {P}, {M,I} , {M,S}, {M,P}, {I,S}, {I,P}, {S,P}, {M,I,S,} { I,S,P} { M,S,P} {M,I,S,P}

Answer 2

Answer:

As given below

Step-by-step explanation:

Given data A is a set of letters in MISSISSIPPI  

⇒ from given data set A = { M, I, S, P}  

i)  set A  

⇒ in a set the elements should not be repeated

⇒ set A = = { M, I, S, P}

ii) n(A)

⇒ number of elements in A =  4

⇒ n(A) = 4

iii) Number of its subsets

⇒ number of subsets of given set = 2ⁿ

[ here n = number of elements in given set ]

⇒ Number of subsets of A = 2⁴ = 2×2×2×2 = 16