Number of arrangements of the word 'MONDAY' starting with M and not ending with N

To find the number of arrangements in which the letters of the word 'MONDAY' can be arranged such that the words formed begin with M and do not end with N, we need to consider the following:

1. Total number of arrangements:
The word 'MONDAY' consists of 6 letters. Therefore, the total number of arrangements of these letters is 6!.

2. Arrangements starting with M:
Since the word formed should start with M, we fix M at the first position. Now, we have 5 remaining letters to arrange. Therefore, the number of arrangements starting with M is 5!.

3. Arrangements not ending with N:
To find the number of arrangements that do not end with N, we need to subtract the arrangements where N is at the last position from the total number of arrangements starting with M.

4. Arrangements with N at the last position:
If N is at the last position, we can treat the arrangement of the remaining 4 letters as a separate problem. Therefore, the number of arrangements with N at the last position is 4!.

5. Number of arrangements starting with M and not ending with N:
To find the number of arrangements that start with M and do not end with N, we subtract the number of arrangements with N at the last position from the total number of arrangements starting with M.

Therefore, the number of arrangements in which the letters of the word 'MONDAY' can be arranged such that the words formed begin with M and do not end with N is:

5! - 4! = 120 - 24 = 96.

So, there are 96 arrangements in which the letters of the word 'MONDAY' can be arranged such that the words formed begin with M and do not end with N.