how many different words can be made from the word winter without repetition
Which words have you found?
WINTER has 6 unique letters.
6P6 = 6!/(6!-6!) = 6!/0! = 720
To calculate the number of different words that can be made from the word "winter" without repetition, we can use the concept of permutations. In permutations, the order of the letters matters.
The word "winter" contains 6 letters. To find the number of different permutations, we can use the formula for permutations of n objects taken r at a time:
P(n, r) = n! / (n-r)!
Where n is the total number of objects (in this case, the number of letters in "winter"), r is the number of objects taken at a time (in this case, the number of letters you want to use to form a word), and the exclamation mark means the factorial of a number.
In this case, to find the number of different words that can be made using all 6 letters of "winter" without repetition, we need to take all 6 letters at a time.
P(6, 6) = 6! / (6-6)! = 6! / 0! = 6! / 1 = 6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, there are 720 different words that can be made from the word "winter" without repetition.