All possible three digit numbers are formed by 1,3,5 . If one number is chosen randomly, the probability that it would be divisible by 5 is -

All possible three digit numbers are formed by 1,3,5 . If one number is chosen randomly, the probability that it would be divisible by 5 is - Correct Answer 13

1,3,5 এই তিনটি অঙ্ক দ্বারা গঠিত মোট সংখ্যা = 1,3,5 অঙ্ক তিনটিকে যতভাবে বিন্যস্ত করা যায় সেই সংখ্যা = 3! 5 দ্বারা বিভাজ্য হলে, সংখ্যাটির একক স্থানীয় অঙ্ক 5 হতে হবে [∴ শূন্য (০) নেই]। ∴ 5 কে একক এর স্থানে রেখে বাকি অঙ্কদ্বয়কে সাজানোর উপায় = 5 কে একক স্থানে রেখে গঠিত মোট সংখ্যা = 2! ∴ নির্ণেয় সম্ভব্যতা = 2!3! = 2!3×2! = 13
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