list-all-subset-of-2-4-6-7-8-

Question Number 57988 by peter frank last updated on 15/Apr/19

l i s t a l l s u b s e t o f

{2, 4, 6, 7, 8}

Commented by mr W last updated on 16/Apr/19

t h a n k s s i r!

Commented by mr W last updated on 17/Apr/19

\emptyset (n u l l s e t) \Rightarrow 1 = C_{0}^{5}

{2} {4} {6} {7} {8} \Rightarrow 5 = C_{1}^{5}

{24} {26} {27} {28} {46} {47} {48} {67} {67} {78} \Rightarrow 10 = C_{2}^{5}

{246} {247} {248} {267} {268} {278} {467} {468} {478} {678} \Rightarrow 10 = C_{3}^{5}

{2467} {2468} {2478} {2678} {4678} \Rightarrow 5 = C_{4}^{5}

{24678} \Rightarrow 1 = C_{5}^{5}

\Rightarrow 32 = 2^{5}

i n g e n e r a l a s e t w i t h n e l e m e n t s h a s

2^{n} s u b s e t s .

Commented by peter frank last updated on 15/Apr/19

t h a n k y o u s i r

Commented by Kunal12588 last updated on 16/Apr/19

i t h i n k

ϕ i s a l s o a s u b s e t o f {2, 4, 6, 7, 8}

a n d e v e r y s e t i s a s u b s e t o f i t s e l f

\Rightarrow {2, 4, 6, 7, 8} \subseteq {2, 4, 6, 7, 8}

s o a n s w e r s h o u l d b e 2^{5} = 32

Commented by problem solverd last updated on 16/Apr/19

but the question was to list

all subset