# what is the number of subsets of set A

Without writing them all out, what is the number of subsets of set A = {tongue, ear, mouth, eye, nose, cheek, forehead, neck, shoulder}?

© BrainMass Inc. brainmass.com October 10, 2019, 3:35 am ad1c9bdddfhttps://brainmass.com/math/analytic-geometry/number-subsets-set-426555

#### Solution Preview

Hello and thank you for posting your question to BrainMass!

The number of choosing k items out of a list of n items with no importance to the order, that is {a,b} is the same as {b,a} is given by the binomial coefficient:

C(k,n) = n!/[k! * (n-k!)]

For example,

Choosing k=1 item ...

#### Solution Summary

The number of subsets of set A = {tongue, ear, mouth, eye, nose, cheek, forehead, neck, shoulder} is ascertained.

$2.19