There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?Choices:- 120 130 100 110

The problem can be solved using the concept of permutations in combinatorics.

Step 1: We have 6 letters and 3 envelopes. Each envelope can contain any of the 6 letters. So, for the first envelope, we have 6 choices.

Step 2: For the second envelope, we have 5 remaining letters. So, we have 5 choices for the second envelope.

Step 3: For the third envelope, we have 4 remaining letters. So, we have 4 choices for the third envelope.

Step 4: The total number of ways to fill the envelopes is the product of the number of choices for each envelope. So, the total number of ways is 6 * 5 * 4 = 120.

So, the correct answer is 120.