let-set-S-R-let-nS-R-R-R-n-sets-of-R-n-Z-is-S-lt-nS-what-if-n-S-

Question Number 11145 by FilupS last updated on 14/Mar/17

let set S = R

let n S = {\underset{n sets of R}{R, R, \dots, R}} n \in Z^{+}

is ∣ S ∣<∣ n S ∣ ?

what if n =∣ S ∣ ?

Commented by prakash jain last updated on 15/Mar/17

S is noy countable .

∣ n S ∣= 1 since duplicate elements are removed .

n S i s a s e t o f s e t s .