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A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?
- a)1/4
- b)1/5
- c)1/6
- d)1/7
Correct answer is option 'C'. Can you explain this answer?
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A five digit number is formed from the numbers 1,3,5,7,8 and 9 without...
Total number of outcome = 6*5*4*3*2
Favourable outcome = 5*4*3*2. So, P = 1/6
Favourable outcome = 5*4*3*2. So, P = 1/6
Most Upvoted Answer
A five digit number is formed from the numbers 1,3,5,7,8 and 9 without...
Solution:
Total number of digits = 6
Number of digits divisible by 5 = 2 (5 and 0)
As the number has to be divisible by 5, so the unit place is occupied by 5. We have to select any one digit from the remaining 5 digits for the thousand's place.
Therefore, number of ways of selecting the digit for thousand's place = 5
Now, the remaining 4 digits can be arranged in 4! ways.
Therefore, total number of 5 digit numbers that can be formed = 5 × 4! = 120
Out of these 120 numbers, only 24 numbers are divisible by 5 (i.e. the number ends with 5). Therefore, the probability that the number is divisible by 5 is:
P(divisible by 5) = 24/120
P(divisible by 5) = 1/5
Hence, the correct option is (c) 1/6.
Total number of digits = 6
Number of digits divisible by 5 = 2 (5 and 0)
As the number has to be divisible by 5, so the unit place is occupied by 5. We have to select any one digit from the remaining 5 digits for the thousand's place.
Therefore, number of ways of selecting the digit for thousand's place = 5
Now, the remaining 4 digits can be arranged in 4! ways.
Therefore, total number of 5 digit numbers that can be formed = 5 × 4! = 120
Out of these 120 numbers, only 24 numbers are divisible by 5 (i.e. the number ends with 5). Therefore, the probability that the number is divisible by 5 is:
P(divisible by 5) = 24/120
P(divisible by 5) = 1/5
Hence, the correct option is (c) 1/6.
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A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer?
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A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer?.
A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A five digit number is formed from the numbers 1,3,5,7,8 and 9 without repeating the numbers. Find the probability that the number is divisible by 5 ?a)1/4b)1/5c)1/6d)1/7Correct answer is option 'C'. Can you explain this answer?.
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