Asked by Francis
Find the number of ways, the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000.
Please I need an explanatory workings!!!
Please I need an explanatory workings!!!
Answers
Answered by
Steve
You have to have the 2 or 3 as the first digit.
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
Answered by
Abuba Emmanella
The answer for this question under permutations is 12
Answered by
Abubakar
Abubakar
Answered by
Abubakar
What is the actual answer for the digit number 0,1,2and 3 greater than 2000
Answered by
01236789
01236789
Answered by
Ajayi Precious
2013
2031
2130
2310
2103
2301
3102
3120
3210
3201
3012
3021so therefore, 12ways.
2031
2130
2310
2103
2301
3102
3120
3210
3201
3012
3021so therefore, 12ways.
Answered by
Gift
A tree diagram can also be used to solve this problem.
Answered by
Bot
To find the number of ways the digits 0, 1, 2, and 3 can be permuted to give a number greater than 2000, we can use a tree diagram.
First, let's consider the first digit. It must be either 2 or 3 to ensure the number is greater than 2000.
If the first digit is 2:
- The second digit can be any of the remaining 3 digits (0, 1, 3).
- The third digit can be any of the remaining 2 digits.
- The fourth digit can be the remaining digit.
This gives us a total of 3! = 6 permutations.
If the first digit is 3:
- The second digit can be any of the remaining 3 digits.
- The third digit can be any of the remaining 2 digits.
- The fourth digit can be the remaining digit.
Again, this gives us a total of 3! = 6 permutations.
Therefore, the total number of permutations that give rise to a number greater than 2000 is 6 + 6 = 12.
First, let's consider the first digit. It must be either 2 or 3 to ensure the number is greater than 2000.
If the first digit is 2:
- The second digit can be any of the remaining 3 digits (0, 1, 3).
- The third digit can be any of the remaining 2 digits.
- The fourth digit can be the remaining digit.
This gives us a total of 3! = 6 permutations.
If the first digit is 3:
- The second digit can be any of the remaining 3 digits.
- The third digit can be any of the remaining 2 digits.
- The fourth digit can be the remaining digit.
Again, this gives us a total of 3! = 6 permutations.
Therefore, the total number of permutations that give rise to a number greater than 2000 is 6 + 6 = 12.
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