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    Subject

    Quantitative Aptitude

    Topic

    Permutation & Combination

    A man has to travel from Allahabad to Lucknow and then from Lucknow to Kolkata. If there are 5 routes from Allahabad to Lucknow and 4 routes to go from Lucknow to Kolkata, then how many options are available for the man to travel from Allahabad to Kolkata via Lucknow?

    ক)
    54
    খ)
    20
    গ)
    45
    ঘ)
    54 + 45
    ঙ)
    None of the above

    Explanation

    This problem can be solved using the M-N-P rule. Rule – If there are three things to do and there are M ways to do the first thing, N ways to do the second thing and P ways to do the third thing then there will be M × N × P ways to do all the three things together. Thus, to travel from Allahabad to Kolkata via Lucknow There are M = 5 routes to travel from Allahabad to Lucknow There are N = 4 routes to travel from Lucknow to Kolkata Then, M × N = 5 × 4 = 20 ways to travel from Allahabad to Kolkata via Lucknow.

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