suppose A = {a,b,c,d} how many subsets of 2 elements are possible
Answers
Answer:
There are six possible subsets of 2 element
{a,b}{a,c}{a,d}{b,c}{b,d}{c,d}
trick use 3 factorial
Given : A = {a,b,c,d}
To Find : how many subsets of 2 elements are possible
Solution:
A = {a,b,c,d}
There are 4 elements in A
To create subsets of 2 elements need to select 2 elements out of 4 elements
order of selecting elements does not matter
Hence number of ways of selecting 2 elements out of 4 elements
is ⁴C₂
= 4!/2!(4-2)!
= 4!/2!.2!
= 4 * 3/ 2
= 6
Hence there are 6 possible subsets
{a , b} , {a , c }, {a , d} , { b , c}, {b, d} , { c , d}
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