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Math Help - combinations

  1. #1
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    combinations

    these are Multiple Choice questions, please help ASAP.

    1.Private automobile license plates contain three letters followed by three numbers. One example is CCG550. If there are no other constraints, the number of plates that could be manufactured is
    A) 150000
    B) 17576000
    C) 12626000
    D) 11232000

    2. There are 8 photographs of wildlife to be hung in a display area. The area only has room for 6 photographs at a time. How many different combinations of the photographs are possible?

    A) 40320
    B) 20160
    C) 6720
    D) 720

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  2. #2
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    Quote Originally Posted by EooD View Post
    these are Multiple Choice questions, please help ASAP.

    2. There are 8 photographs of wildlife to be hung in a display area. The area only has room for 6 photographs at a time. How many different combinations of the photographs are possible?

    A) 40320
    B) 20160
    C) 6720
    D) 720
    I get Answer B.

    Permutation and Combination Calculator
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  3. #3
    GAMMA Mathematics
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    Quote Originally Posted by EooD View Post
    these are Multiple Choice questions, please help ASAP.

    1.Private automobile license plates contain three letters followed by three numbers. One example is CCG550. If there are no other constraints, the number of plates that could be manufactured is
    A) 150000
    B) 17576000
    C) 12626000
    D) 11232000
    There are 26 letters in the Latin alphabet. This gives us 26 possibilities for one of the first three slots. There are also 10 digits, so:

    26*26*26*10*10*10 = 26^3 * 10^3 \Rightarrow 260^3 = 17576000

    Quote Originally Posted by EooD View Post
    2. There are 8 photographs of wildlife to be hung in a display area. The area only has room for 6 photographs at a time. How many different combinations of the photographs are possible?

    A) 40320
    B) 20160
    C) 6720
    D) 720

    Say one slot can take on 8 photographs. The next slot, given the first slot is filled, can now take 7 photographs. This continues on until the last slot which can take 3 photographs.

    8*7*6*5*4*3 = 20160
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  4. #4
    GAMMA Mathematics
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    Quote Originally Posted by mathceleb View Post
    I get 28 UNIQUE combinations.

    Permutation and Combination Calculator
    Mathceleb, it isn't 8\choose6
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  5. #5
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    Thanks for all your replies and thanks for your time
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