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 distinct permutations.
To find the number of different words that can be made from the word "winter" without repetition, we need to calculate the number of permutations.
A permutation is an arrangement of objects in a specific order. In this case, the objects are the letters of the word "winter."
The word "winter" has 6 letters, so we have 6 slots to fill with these letters. To calculate the number of permutations, we multiply the number of choices for each slot together.
For the first slot, we have 6 choices (w, i, n, t, e, r). After selecting a letter for the first slot, we have 5 choices left for the second slot. For the third slot, we have 4 choices, then 3 choices for the fourth slot, 2 choices for the fifth slot, and finally, 1 choice for the last slot.
Therefore, the number of different words that can be made from the word "winter" without repetition is:
6 x 5 x 4 x 3 x 2 x 1 = 720.
So, there are 720 different words that can be made from the word "winter" without repetition.