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Let S={1,2,3,….9}. For k=1,2,…5, let Nk be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5 =
- a)125
- b)252
- c)210
- d)126
Correct answer is option 'D'. Can you explain this answer?
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Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of s...
N1 + N2 + N3 + N4 + N5 = Total ways – {when no odd}
Total ways = 9C5
Number of ways when no odd number is selected is 0 (∵ only available even are 2,4,6,8)
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Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of s...
4,5,6}
a) What is the cardinality of S?
The cardinality of S is 6.
b) What is the subset of S that contains only even numbers?
The subset of S that contains only even numbers is {2,4,6}.
c) What is the power set of S?
The power set of S is {{}, {1}, {2}, {3}, {4}, {5}, {6}, {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,3}, {2,4}, {2,5}, {2,6}, {3,4}, {3,5}, {3,6}, {4,5}, {4,6}, {5,6}, {1,2,3}, {1,2,4}, {1,2,5}, {1,2,6}, {1,3,4}, {1,3,5}, {1,3,6}, {1,4,5}, {1,4,6}, {1,5,6}, {2,3,4}, {2,3,5}, {2,3,6}, {2,4,5}, {2,4,6}, {2,5,6}, {3,4,5}, {3,4,6}, {3,5,6}, {4,5,6}, {1,2,3,4}, {1,2,3,5}, {1,2,3,6}, {1,2,4,5}, {1,2,4,6}, {1,2,5,6}, {1,3,4,5}, {1,3,4,6}, {1,3,5,6}, {1,4,5,6}, {2,3,4,5}, {2,3,4,6}, {2,3,5,6}, {2,4,5,6}, {3,4,5,6}, {1,2,3,4,5}, {1,2,3,4,6}, {1,2,3,5,6}, {1,2,4,5,6}, {1,3,4,5,6}, {2,3,4,5,6}, {1,2,3,4,5,6}}.
a) What is the cardinality of S?
The cardinality of S is 6.
b) What is the subset of S that contains only even numbers?
The subset of S that contains only even numbers is {2,4,6}.
c) What is the power set of S?
The power set of S is {{}, {1}, {2}, {3}, {4}, {5}, {6}, {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,3}, {2,4}, {2,5}, {2,6}, {3,4}, {3,5}, {3,6}, {4,5}, {4,6}, {5,6}, {1,2,3}, {1,2,4}, {1,2,5}, {1,2,6}, {1,3,4}, {1,3,5}, {1,3,6}, {1,4,5}, {1,4,6}, {1,5,6}, {2,3,4}, {2,3,5}, {2,3,6}, {2,4,5}, {2,4,6}, {2,5,6}, {3,4,5}, {3,4,6}, {3,5,6}, {4,5,6}, {1,2,3,4}, {1,2,3,5}, {1,2,3,6}, {1,2,4,5}, {1,2,4,6}, {1,2,5,6}, {1,3,4,5}, {1,3,4,6}, {1,3,5,6}, {1,4,5,6}, {2,3,4,5}, {2,3,4,6}, {2,3,5,6}, {2,4,5,6}, {3,4,5,6}, {1,2,3,4,5}, {1,2,3,4,6}, {1,2,3,5,6}, {1,2,4,5,6}, {1,3,4,5,6}, {2,3,4,5,6}, {1,2,3,4,5,6}}.
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Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer?
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Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer?.
Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer?.
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Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Let S={1,2,3,….9}. For k=1,2,…5,let Nkbe the number of subsets of S, each containing five elements out of which exactly kare odd. Then N1+ N2 + N3 + N4 + N5=a)125b)252c)210d)126Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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