📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    A 6-digit number is formed using the digits 1, 2, 3, 4,

    5 and 6. If each digit can be used only once, then find the probability that the number formed will be divisible by 2.
    A 1/3 Correct Answer Incorrect Answer
    B 1/4 Correct Answer Incorrect Answer
    C 1/5 Correct Answer Incorrect Answer
    D 1/2 Correct Answer Incorrect Answer

    Solution

    Total numbers formed = 6! = 720
    To be divisible by 2, the unit digit must be even → 2, 4 or 6
    Fix unit digit as 2 → remaining 5 digits can be arranged in 5! = 120 ways
    Same for unit digit 4 → 5! = 120
    Same for 6 → 5! = 120
    Total such numbers = 3 × 120 = 360
    Required probability = 360/720 = 1/2

    Practice Next
    More Probability Questions
    ask-question