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Find the total number of ways of answering five objective type questions, each question having four choices

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Knowledge Check

  • if n objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each other is

    A
    `{(n-2)(n-3)(n-4)}/6`
    B
    `.^(n-2)c_3`
    C
    `.^(n-3)c_3+^(n-3)c_2`
    D
    none of these
  • An objective type test paper has 5 questions. Out of these 5 questions, 3 questions have four options eah (A,B,C,D) with one option being the correct answer. The other 2 questions have two options each, namely True and False. A candidate randomly ticks the options. Then the probability that he/she will tick the correct option in at least four question is-

    A
    `5/32`
    B
    `3/128`
    C
    `3/256`
    D
    `3/64`
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