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How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?
- a)10
- b)9
- c)7
- d)8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
How many possible two-digit numbers can be formed by using the digits ...
⇒ Number of possible two-digit numbers which can be formed by using the digits 3, 5 and 7 = 3 × 3.
∴ 9 possible two-digit numbers can be formed.
The 9 possible two-digit numbers are:
33, 35, 37, 53, 55, 57, 73, 75, 77
∴ 9 possible two-digit numbers can be formed.
The 9 possible two-digit numbers are:
33, 35, 37, 53, 55, 57, 73, 75, 77
Most Upvoted Answer
How many possible two-digit numbers can be formed by using the digits ...
To find the number of possible two-digit numbers that can be formed using the digits 3, 5, and 7 (with repetition of digits allowed), we can use the concept of permutations with repetition.
Permutations with repetition is a way of counting the number of ways objects can be arranged when there are repeated objects. In this case, the repeated objects are the digits 3, 5, and 7.
Step 1: Identify the possible choices for each digit
In this case, the possible choices for each digit are 3, 5, and 7.
Step 2: Determine the number of choices for each digit
Since repetition of digits is allowed, each digit can be chosen from the set {3, 5, 7}. Therefore, there are 3 choices for each digit.
Step 3: Determine the total number of possible two-digit numbers
To find the total number of possible two-digit numbers, we need to multiply the number of choices for each digit.
3 choices for the tens digit * 3 choices for the ones digit = 9 possible two-digit numbers
Hence, the correct answer is option B) 9.
Permutations with repetition is a way of counting the number of ways objects can be arranged when there are repeated objects. In this case, the repeated objects are the digits 3, 5, and 7.
Step 1: Identify the possible choices for each digit
In this case, the possible choices for each digit are 3, 5, and 7.
Step 2: Determine the number of choices for each digit
Since repetition of digits is allowed, each digit can be chosen from the set {3, 5, 7}. Therefore, there are 3 choices for each digit.
Step 3: Determine the total number of possible two-digit numbers
To find the total number of possible two-digit numbers, we need to multiply the number of choices for each digit.
3 choices for the tens digit * 3 choices for the ones digit = 9 possible two-digit numbers
Hence, the correct answer is option B) 9.
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How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer?.
How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many possible two-digit numbers can be formed by using the digits 3, 5 and 7 (repetition of digits is allowed)?a)10b)9c)7d)8Correct answer is option 'B'. Can you explain this answer?.
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