I just did this Quiz and I dont understand how I got this wrong. The question is
How many 2-digit numbers can be formed using the only digits 2,3,5, and 6, if the digits are not repeated within a number.
A.11
B.12
C.10
D.2
I picked 10 but the score sheet says its 12. How is that possible?
23
32
25
52
26
62
35
53
36
63
56
65
4 choices for the 1st digit, leaving 3 choices for the 2nd digit.
What is 4x3 ??
12
To determine how many 2-digit numbers can be formed using the given digits (2, 3, 5, and 6) without repetition, we can follow these steps:
Step 1: Determine the possible choices for the first digit.
Since the first digit cannot be zero, and we have four choices (2, 3, 5, and 6), there are four possible choices for the first digit.
Step 2: Determine the possible choices for the second digit.
After selecting the first digit, there are three remaining choices for the second digit. This is because we cannot repeat the digit chosen for the first digit.
Step 3: Determine the total number of 2-digit numbers.
To find the total number of 2-digit numbers, we multiply the number of choices for the first digit by the number of choices for the second digit.
4 (choices for the first digit) * 3 (choices for the second digit) = 12
Therefore, there are 12 different 2-digit numbers that can be formed using the given digits without repetition.
It appears that the correct answer is B.12, as mentioned in the score sheet. It's possible that you may have made an error in your calculations or misinterpreted the question.