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Math Help - mcqs

  1. #1
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    mcqs

    Hello,
    please try to solve these questions
    Attached Files Attached Files
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  2. #2
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    Part 1)
    False
    True
    True
    False

    Part 2)
    The second one.

    Part 3)
    The third one.

    Part 4)
    Do not know.
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  3. #3
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    Hello,
    But i have to choose only one option in question no 1.i think so option no 3 is more suitable what is your point of view.
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  4. #4
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    Quote Originally Posted by m777 View Post
    Hello,
    But i have to choose only one option in question no 1.i think so option no 3 is more suitable what is your point of view.
    In that case #3 is wrong. Because when you wrote {X} I was thinking you actually meant {x}. But since it matters here, it is wrong.
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  5. #5
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    Hello, m777!

    a) Which of these is true?

    1) {x} ε {x}
    2) φ ε {x}
    3) {X} ε {{x}}
    4) none of these
    If that's really an upper-case X in (3), the answer is (4) "none of these".
    If it's supposed to be "x" in there, the answer is (3).



    b) In R, the symmetric property with respect to equality of numbers is:

    1) .a = b . . b = -a
    2) .a = b . . b = a
    3) .a = b . . b = 2a
    4) .a = b . . a = -b

    Do you know what the symmetric property is?

    The answer is (2).



    Combination of n and k . . . that is: C(n,k)

    . . . .n!
    1) -------
    . . (n-k)!

    . . . . n!
    2) ---------
    . . k!(n-k)!

    . . . . n!
    3) ---------
    . . n!(n-k)!

    4) None of these

    You're new to "combinations", aren't you?

    The answer is (2).


    I'm not familiar with "binary trees" . . . sorry.

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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by ThePerfectHacker View Post
    Part 1)
    False
    True
    True
    False
    Option (2) is the statement: NullSet in {x}, which is false unless x=NullSet.

    Option (3) is the statement: {X} in { {x} }, which is false unless there is a
    convention in place that has X={x}.

    But if options 1, 2, 3 are all false then 4 will be true.

    RonL
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  7. #7
    Grand Panjandrum
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    d) There is a full binary tree that has 10 internal vertices and 13 terminal vertices

    No, for a full binary tree:

    n(terminal)=n(internal)+1

    RonL
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  8. #8
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    soroban

    Hello,
    Soroban.
    yes, i have just started the topic "combinations". For any quantities a and b, if a = b, then b = a is symmetric property.
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