How many different three-digit numbers can be formed with the digits that make up the number 24756
Accepted Solution
A:
If Repeatation of digit not allowed then
To find out how many different three-digit numbers can be formed using the digits 2, 4, 7, 5, and 6, you can use the permutation formula. Since you're selecting 3 digits from a set of 5, the formula would be:
P(5, 3) = 5! / (5 - 3)!
Where:
- P(5, 3) represents the number of permutations.
- 5! is the factorial of 5 (5 Γ 4 Γ 3 Γ 2 Γ 1).
- (5 - 3)! is the factorial of (5 - 3), which is 2.
So, the calculation would be:
P(5, 3) = 5! / (5 - 3)! = (5 Γ 4 Γ 3 Γ 2 Γ 1) / (2 Γ 1) = 120 / 2 = 60
Therefore, there are 60 different three-digit numbers that can be formed using the digits 2, 4, 7, 5, and 6.