Question

Calculate the number of subsets for the set below.

M = {x | x is an integer between 1 and 5, exclusive}

Answer 1

is it 4?

Answer 2

oh no

Answer 3

M={2,3,4}

Answer 4

ohhhh gotcha so 3?

Answer 5

or 1

Answer 6

No

Answer 7

if a set has \(n\) elements the number of subsets is \(2^n\)

Answer 8

Here are the 8 subsets
{{}, {2}, {3}, {4}, {2, 3}, {2, 4}, {3, 4}, {2, 3, 4}}

Answer 9

If your set has 4 elements, there are 2^4=16 subsets:

{{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c,
d}, {a, b, c}, {a, b, d}, {a, c, d}, {b, c, d}, {a, b, c, d}}

Answer 10

If your set has 5 elements, there are 2^5=32 subsets:
{{}, {a}, {b}, {c}, {d}, {e}, {a, b}, {a, c}, {a, d}, {a, e}, {b,
c}, {b, d}, {b, e}, {c, d}, {c, e}, {d, e}, {a, b, c}, {a, b,
d}, {a, b, e}, {a, c, d}, {a, c, e}, {a, d, e}, {b, c, d}, {b, c,
e}, {b, d, e}, {c, d, e}, {a, b, c, d}, {a, b, c, e}, {a, b, d,
e}, {a, c, d, e}, {b, c, d, e}, {a, b, c, d, e}}

Answer 11

and so fourth.

Answer 12

Sample spaces! Must consider *all* possibilities.