write the subset of {2,4,6,8,10}
Answers
{ 2}, {4} ,{6}, {8} ,{10}
{ 2,4} ,{2,4,6}, {2,4,6,8} ,
{4,6} , { 6,8} {8,10}
{2,6}, {4,8} {2,8} {6,8}, { 2,10},{2,6,8},{2,4,8}
The subsets are {}, {2}, {4}, {6}, {8}, {10}, {2,4}, {2,6}, {4,6}, {2,8}, {4,8}, {6,8}, {2,10}, {4,10}, {6,10}, {8,10}, {2,4,6}, {2,4,8}, {2,6,8}, {4,6,8}, {2,4,10}, {2,6,10}, {4,6,10}, {2,8,10}, {4,8,10}, {6,8,10}, {2,4,6,8}, {2,4,6,10}, {2,4,8,10}, {2,6,8,10}, {4,6,8,10}, {2,4,6,8,10}
Given problem:
write the subset of {2,4,6,8,10}
Solution:
- In Mathematics Set is a collection/ group of elements/ objects
- Sub set is a part of a set
- Set B is said to be a subset of Set A if all the elements of Set B are present in Set A.
- Simply we can say that In sub set B will be inside Set A
- Example: If A = { a, b, c} then subsets of given by
{a, b, c} {a, b} {b, c} {a, c} {a} {b} {c} { }
- If a set contains "n" number of elements then number of sub sets will be equal to 2ⁿ
=> Given set = {2,4,6,8,10}
=> Number of elements in set = 5
=> Number of subsets = 2⁵ = 32
And the subsets are {}, {2}, {4}, {6}, {8}, {10}, {2,4}, {2,6}, {4,6}, {2,8}, {4,8}, {6,8}, {2,10}, {4,10}, {6,10}, {8,10}, {2,4,6}, {2,4,8}, {2,6,8}, {4,6,8}, {2,4,10}, {2,6,10}, {4,6,10}, {2,8,10}, {4,8,10}, {6,8,10}, {2,4,6,8}, {2,4,6,10}, {2,4,8,10}, {2,6,8,10}, {4,6,8,10}, {2,4,6,8,10}
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