Question

what are the 32 subsets of C={m,n,o,p,q}

Answer 1

a subset is a smaller grouping of the original so
{m,n}
{n,o}
{o,p}
{p,q}
{m,n,o,p,q}
etc. Can you get that from here?

Answer 2

{m}
{n}
{o}
{p}
{q}
{m,o}
{p,o}
{m,p}
are some more...you can also put groupings of three and four of the letters together...

Got it? :)

Answer 3

There are 5 different elements, with the largest possible subset being 5 elements (the set C itself), and the smallest being 1 element.

5 element sets:
eg {m, n, o, p, q}
(5 * 4 * 3 * 2 * 1) / 5! = 1

+

4 element sets:
eg, {m, n, o, p}
(5 * 4 * 3 * 2) / 4! = 5

+

3 element sets:
eg, {m, n, o}
(5 * 4 * 3) / 3! = 10

+

2 element sets:
eg, {m, n}
(5 * 4) / 2! = 10

+

1 element sets:
eg, {m}
(5) / 1! = 5

= 31 possible subsets. Oops?

Answer 4

+ the empty set \(\emptyset\)

Answer 5

Here they are
{{}, {m}, {n}, {o}, {p}, {q}, {m, n}, {m, o}, {m, p}, {m, q}, {n,
o}, {n, p}, {n, q}, {o, p}, {o, q}, {p, q}, {m, n, o}, {m, n,
p}, {m, n, q}, {m, o, p}, {m, o, q}, {m, p, q}, {n, o, p}, {n, o,
q}, {n, p, q}, {o, p, q}, {m, n, o, p}, {m, n, o, q}, {m, n, p,
q}, {m, o, p, q}, {n, o, p, q}, {m, n, o, p, q}}

Answer 6

Why did you just give her the entire answer? We kind of discourage that on OpenStudy.

Answer 7

Because, she already had all of the subsets with all the posts above. This was a summary.