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Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.?
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Ram forgott his phone password, he knows that his password had 3twice ...
Understanding the Password Structure
Ram's password consists of the digits '3' and '4', where '3' appears twice and '4' appears thrice. This gives us the digits: 3, 3, 4, 4, 4.
Requirements
- Digits Involved: 3 (twice), 4 (thrice)
- Password Criteria: Must be greater than 40000
Forming the Passwords
To solve for the number of possible combinations that meet the criteria, we first need to recognize the valid permutations of the digits.
- Total Digits: 5 (2 threes and 3 fours)
Using the formula for permutations of multiset:
- Total Permutations = 5! / (2! * 3!) = 10
Filtering by Criteria
However, since the password must be greater than 40000, we need to analyze the possible leading digits:
- Possible Leading Digit: The first digit can only be '4' to ensure the number is above 40000.
Counting Valid Combinations
After fixing '4' as the first digit, the remaining digits are 3, 3, 4. The permutations of these digits are calculated as:
- Remaining Digits: 3, 3, 4
- Permutations = 3! / (2!) = 3
Thus, the valid combinations of the password that meet the criteria are:
1. 43334
2. 43434
3. 44334
Conclusion
Therefore, Ram has a total of 3 possible combinations to try before successfully unlocking his phone. This is the maximum number of trials he would need.
Ram's password consists of the digits '3' and '4', where '3' appears twice and '4' appears thrice. This gives us the digits: 3, 3, 4, 4, 4.
Requirements
- Digits Involved: 3 (twice), 4 (thrice)
- Password Criteria: Must be greater than 40000
Forming the Passwords
To solve for the number of possible combinations that meet the criteria, we first need to recognize the valid permutations of the digits.
- Total Digits: 5 (2 threes and 3 fours)
Using the formula for permutations of multiset:
- Total Permutations = 5! / (2! * 3!) = 10
Filtering by Criteria
However, since the password must be greater than 40000, we need to analyze the possible leading digits:
- Possible Leading Digit: The first digit can only be '4' to ensure the number is above 40000.
Counting Valid Combinations
After fixing '4' as the first digit, the remaining digits are 3, 3, 4. The permutations of these digits are calculated as:
- Remaining Digits: 3, 3, 4
- Permutations = 3! / (2!) = 3
Thus, the valid combinations of the password that meet the criteria are:
1. 43334
2. 43434
3. 44334
Conclusion
Therefore, Ram has a total of 3 possible combinations to try before successfully unlocking his phone. This is the maximum number of trials he would need.
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Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.?
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Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.?.
Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram forgott his phone password, he knows that his password had 3twice and 4 thrice, also his password is greater than 40000. what is the maximum number of trials he needed to unlock. his diagram.?.
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