How many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options12024720360
Question
How many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options12024720360
Solution
The question is asking for the number of different 4-digit numbers that can be formed using the digits 1, 2, 5, 6, 7, and 8.
Here are the steps to solve this problem:
-
We have 6 different digits and we need to form a 4-digit number.
-
The first digit can be any of the 6 digits. So, we have 6 options for the first digit.
-
The second digit can be any of the remaining 5 digits (since we can't repeat a digit). So, we have 5 options for the second digit.
-
Similarly, the third digit can be any of the remaining 4 digits, giving us 4 options.
-
Finally, the fourth digit can be any of the remaining 3 digits, giving us 3 options.
-
To find the total number of 4-digit numbers, we multiply the number of options for each digit together.
So, the total number of different 4-digit numbers is 6 * 5 * 4 * 3 = 360.
Therefore, the answer is 360.
Similar Questions
How many five digit numbers can be formed using every digit of 5, 6, 7, 8 and 9 which are divisible by 4?Options12243618
How many 5-digit numbers can you make from the digits 0, 2, 4, 6 and 8, if you can use any digit any number of times?
How many different numbers can be formed from the digits 3, 4, 5, 6 and 7 when repetitions are allowed ?
How many 5-digit numbers can be formed from the numbers 0, 2, 4, 5, 7 and 9 (without repetition), such that it is divisible by 4?
How many four-digit numbers are there between 7500 and 9600 that can be formed using only the digits 3, 7, 5, 6, 8, 9 without repetition of any digits?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.