Question

for a set of four elements find the number of different subsets of 3 elements. use row 4 of pascals triangle to find the answer

Answer 1

Let the set of four elements be {a, b, c, d}

To get the total amount of subsets contained in the set, we will find the power of the set. Given the set:

A = {a, b, c, d}

P(A) = 2^n

n is the number of element in the set

p(A) = 2^4

p(A) = 16

Hence the total subsets contained in the set is 16. Out of the subsets, the different subsets of 3 elements are:

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