how many combinations are there to the word meow
The word "meow" has 24 possible combinations.
To calculate the number of combinations in the word "meow," we need to consider that each letter can be arranged in different positions. The word "meow" has four letters, so there are four slots to fill.
Since the order matters (e.g., "meow" is different from "woem"), we can use the formula for permutations to find the number of combinations.
The formula for permutations is: nPr = n! / (n - r)!
Where:
n is the total number of items (letters in this case)
r is the number of items taken at a time (same as n in this case)
Applying the formula to the word "meow":
nPr = 4! / (4 - 4)!
= 4! / 0!
= 4! / 1
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, there are 24 different combinations for the word "meow".
To determine the number of possible combinations for the word "meow," we need to consider that each letter in the word can be arranged in different positions.
The word "meow" contains four letters. We can calculate the number of combinations using the formula for permutations of a word with repetition:
n! / (n1! * n2! * n3! * ...)
Where:
- n is the total number of letters in the word
- n1, n2, n3, and so on represent the number of occurrences of each repeated letter in the word (if any)
In this case, the word "meow" has no repeated letters, so the formula simplifies to:
4! / (1! * 1! * 1! * 1!)
Calculating:
4! = 4 * 3 * 2 * 1 = 24
1! = 1
The final calculation is:
24 / (1 * 1 * 1 * 1) = 24
Therefore, there are 24 different combinations of the letters in the word "meow."