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How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?
- a)35
- b)53
- c)120
- d)60
Correct answer is option 'D'. Can you explain this answer?
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How many numbers between 100 and 1000 can be formed with the digits 5,...
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How many numbers between 100 and 1000 can be formed with the digits 5,...
Explanation:
Understanding the problem:
- We need to find the number of numbers that can be formed using the digits 5, 6, 7, 8, 9 between 100 and 1000 without repetition.
- Since the number should be between 100 and 1000, the hundreds place can only be filled with the digits 5, 6, 7, 8, or 9.
- The tens and units place can be filled with any of the remaining digits.
Solution:
- There are 5 choices for the hundreds place (5, 6, 7, 8, 9).
- Once the hundreds digit is selected, there are 4 choices for the tens place (since one digit is already used).
- After selecting the hundreds and tens digits, there are 3 choices left for the units place.
- Therefore, the total number of numbers that can be formed is 5 x 4 x 3 = 60.
Final Answer: The correct answer is option D) 60.
Understanding the problem:
- We need to find the number of numbers that can be formed using the digits 5, 6, 7, 8, 9 between 100 and 1000 without repetition.
- Since the number should be between 100 and 1000, the hundreds place can only be filled with the digits 5, 6, 7, 8, or 9.
- The tens and units place can be filled with any of the remaining digits.
Solution:
- There are 5 choices for the hundreds place (5, 6, 7, 8, 9).
- Once the hundreds digit is selected, there are 4 choices for the tens place (since one digit is already used).
- After selecting the hundreds and tens digits, there are 3 choices left for the units place.
- Therefore, the total number of numbers that can be formed is 5 x 4 x 3 = 60.
Final Answer: The correct answer is option D) 60.
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How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer?
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How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer? for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT/PGT/PRT preparation. The Question and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus. Information about How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer?.
How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer? for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT/PGT/PRT preparation. The Question and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus. Information about How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?a)35b)53c)120d)60Correct answer is option 'D'. Can you explain this answer?.
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