How many different arrangements can be made with the letters from the word MATH?
There are 4 letters in the word MATH.
To find the number of arrangements, we can use the formula for permutations:
n! / (n-r)!
Where n is the total number of items and r is the number we want to choose.
In this case, we want to choose all 4 letters (r = 4). So the formula becomes:
4! / (4-4)! = 4! / 0! = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 different arrangements that can be made with the letters from the word MATH.
To find the number of different arrangements that can be made with the letters from the word "MATH," we can use the concept of permutations.
The word "MATH" has 4 letters. Since none of the letters are repeated, we can find the number of arrangements using the formula for permutations of distinct objects.
The formula for permutations is given by P(n, r) = n! / (n - r)!, where n is the total number of objects and r is the number of objects being selected.
In this case, n = 4 (the number of letters in the word "MATH") and r = 4 (since we are arranging all 4 letters).
Plugging these values into the formula, we get:
P(4, 4) = 4! / (4 - 4)!
= 4! / 0!
= 4! / 1
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, there are 24 different arrangements that can be made with the letters from the word "MATH."