Q:

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.