How many ways can six of the letters of the word palindrome be selected and written in a row where either the first two letters are PA(in order) or the last two letters are ME (in order)

There are 48 ways to select and arrange six letters from the word "palindrome".

Case 1: First two letters are "PA" (in order)

In this case, to select four letters from the remaining seven letters of the word "lindrome" and arrange them.

The order of the selected four letters is important.

So, the number of ways for this case is:

Number of ways = 4! = 24

Case 2: Last two letters are "ME" (in order)

Similarly, in this case, to select four letters from the remaining

seven letters of the word "palindr" and arrange them.

The number of ways for this case is also:

Number of ways = 4! = 24

Now, the total Number of ways

= Number of ways in Case 1 + Number of ways in Case 2

= 24 + 24

= 48

Therefore, there are 48 ways to select and arrange.

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