armyyy please answer this question:. If A={1,2,3,....10} then the number of subsets of A. How many are proper subsets? please give the correct answer.
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armyyy please answer this question:. If A={1,2,3,....10} then the number of subsets of A. How many are proper subsets? please give the correct answer.
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Answer:
1. If A {1, 3, 5}, then write all the possible subsets of A. Find their numbers.
Solution:
The subset of A containing no elements - { }
The subset of A containing one element each - {1} {3} {5}
The subset of A containing two elements each - {1, 3} {1, 5} {3, 5}
The subset of A containing three elements - {1, 3, 5)
Therefore, all possible subsets of A are { }, {1}, {3}, {5}, {1, 3}, {3, 5}, {1, 3, 5}
Therefore, number of all possible subsets of A is 8 which is equal 23.
Proper subsets are = { }, {1}, {3}, {5}, {1, 3}, {3, 5}
Number of proper subsets are 7 = 8 - 1 = 23 - 1
Step-by-step explanation:
Hope it helps you