Math (pre-celc 12)

A true false test has 15 questions. How many answer keys are possible of the answer to 6 of the questions is false and 9 are true?

I think this is a permutation and not a combination because each answer key would be different depending on the order of which are true or false.

I think the answer is 15P9 x 15P6

Am I right?

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  1. lets look at an example. A four q test, 3 t, 1 f

    tttf
    fttt
    tftt
    ttft

    4!/1! * 4!/3!=4*3*2*4 Nope..
    What about 4!/3!1!

    lets try that then with a five q, 3T, 2F
    tttff
    ttftf
    tfttf
    ftttf
    fttft
    ftftt
    ffttt
    tfftt
    ttfft
    tftft
    5!/3!2!=5*2=10 And ten it is.

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    bobpursley
  2. Thanks for typing that all out! It really helped.

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