Question

write a subsets of { R,O,S,E }​

Answer 1

Step-by-step explanation:

Subsets of {R, O, S, E} = Ф, {R}, {O}, {S}, {E}, {R, O}, {R, S}, {R, E}, {O, S}, {O, E}, {S, E} {R, O, S}, {R, S, E}, {O, S, E}, {R, O, E}, {R, O, S, E}

Verification:

Let us denote the given set as A

Number of elements in the set $[n(A)]$ = 4 $(m)$

$n[P(A)]=2^m$, where $P(A)$ is a set of subsets of Set A as elements.

$n[P(A)]=2^4$

$n[P(A)]=16$

∴ The above set has 16 subsets.

As found above, P(A) = {Ф, {R}, {O}, {S}, {E}, {R, O}, {R, S}, {R, E}, {O, S}, {O, E}, {S, E} {R, O, S}, {R, S, E}, {O, S, E}, {R, O, E}, {R, O, S, E}} and n[P(A)]=16.

Hence verified.