Question
Download Solution PDFOut of the six digits 1, 2, 3, 4, 5 and 6: how many two digit numbers can be formed without repetition of digits?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe Correct answer is Option 3.
Key PointsTo find out how many two-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition of digits, we can follow these steps:
- Choose the first digit: The first digit of a two-digit number can be any of the 6 digits (1, 2, 3, 4, 5, or 6). So, there are 6 options for the first digit.
- Choose the second digit: After choosing the first digit, we cannot use that digit again. Therefore, for the second digit, we have 5 remaining options.
- Calculate the total combinations: The total number of two-digit numbers can be calculated by multiplying the number of choices for the first digit by the number of choices for the second digit:
Total two-digit numbers = 6 × 5 = 30
Thus, the total number of two-digit numbers that can be formed without repetition of digits is: 3) 30.
Last updated on Jun 26, 2025
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