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An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?
- a)6,760
- b)13,520
- c)40,560
- d)1,05,456
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An e-mail password must contain three characters. The password has to ...
Since, there are three positions which can be filled either by upper case letter, lower case letter or a number from 0 9 −
Hence, total choices are = 26 × 26 × 10 = 6760
3 characters can be arranged in 3! ways & hence total no of password can be = 3! × 6760 = 40560
Hence, total choices are = 26 × 26 × 10 = 6760
3 characters can be arranged in 3! ways & hence total no of password can be = 3! × 6760 = 40560
Most Upvoted Answer
An e-mail password must contain three characters. The password has to ...
Problem:
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one uppercase, and one lowercase character from the English alphabet. How many distinct passwords are possible?
Solution:
To find the number of distinct passwords, we need to consider the different possibilities for each character in the password.
Number of possibilities for the numeral:
There are 10 possible numerals from 0 to 9. Therefore, there are 10 possibilities for the numeral character in the password.
Number of possibilities for the uppercase letter:
There are 26 uppercase letters in the English alphabet. Therefore, there are 26 possibilities for the uppercase character in the password.
Number of possibilities for the lowercase letter:
Similarly, there are 26 lowercase letters in the English alphabet. Therefore, there are 26 possibilities for the lowercase character in the password.
Total number of distinct passwords:
To find the total number of distinct passwords, we need to multiply the number of possibilities for each character together.
Total number of distinct passwords = Number of possibilities for numeral * Number of possibilities for uppercase letter * Number of possibilities for lowercase letter
Total number of distinct passwords = 10 * 26 * 26
Total number of distinct passwords = 6,760
Therefore, the correct answer is option 'a' - 6,760.
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one uppercase, and one lowercase character from the English alphabet. How many distinct passwords are possible?
Solution:
To find the number of distinct passwords, we need to consider the different possibilities for each character in the password.
Number of possibilities for the numeral:
There are 10 possible numerals from 0 to 9. Therefore, there are 10 possibilities for the numeral character in the password.
Number of possibilities for the uppercase letter:
There are 26 uppercase letters in the English alphabet. Therefore, there are 26 possibilities for the uppercase character in the password.
Number of possibilities for the lowercase letter:
Similarly, there are 26 lowercase letters in the English alphabet. Therefore, there are 26 possibilities for the lowercase character in the password.
Total number of distinct passwords:
To find the total number of distinct passwords, we need to multiply the number of possibilities for each character together.
Total number of distinct passwords = Number of possibilities for numeral * Number of possibilities for uppercase letter * Number of possibilities for lowercase letter
Total number of distinct passwords = 10 * 26 * 26
Total number of distinct passwords = 6,760
Therefore, the correct answer is option 'a' - 6,760.
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An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer?
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An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer?.
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?a)6,760b)13,520c)40,560d)1,05,456Correct answer is option 'C'. Can you explain this answer?.
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