Question
Download Solution PDFA five-digit number is formed with the digits 5, 6, 7, 8 and 9 without repetition. Find the probability that the number divisible by 5.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Divisibility of 5: The last digit(Unit digit) should be 0 and 5.
Formula used:
Probability = Favourable outcomes / Total outcomes
Calculation:
Total digits = 5
Total outcomes = 5!
The last digit may be only 5 only.
Remaining digits = 4
Favorable outcomes = 4!
Probability = 4! / 5! = 4! / (5 × 4!)
⇒ 1 / 5
∴ The probability that the number divisible by 5 is 1/5
Last updated on Jun 12, 2025
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