Which of the following will be the correct sequence of the words if they are arranged as per their order in an English dictionary?

By options:

Option (a): Pile$$\rightarrow$$Pilgrim$$\rightarrow$$​​Pigment$$\rightarrow$$​​Pillow

Among the given words, the first two letters of each word are the same. Then, for the third letter, 'Pigment' will come first because alphabetically 'g' comes before 'l'. So, this sequence is incorrect.

Among the given words, the first two letters of each word are the same. Then, for the third letter, 'Pigment' will come first because alphabetically 'g' comes before 'l'. After that, from the fourth letter of (Pile, Pillow, Pilgrim), the first word will be 'Pile', then 'Pilgrim', and then, at last, it will be 'Pillow'. So, this sequence is correct.

Option (c): Pillow$$\rightarrow$$​​Pilgrim$$\rightarrow$$​​Pigment$$\rightarrow$$​​Pile

Among the given words, the first two letters of each word are the same. Then, for the third letter, 'Pigment' will come first because alphabetically 'g' comes before 'l'. So, this sequence is incorrect.

Option (d): Pigment$$\rightarrow$$​​Pile$$\rightarrow$$​​Pillow$$\rightarrow$$​​Pilgrim

Among the given words, the first two letters of each word are the same. Then, for the third letter, 'Pigment' will come first because alphabetically 'g' comes before 'l'. After that, from the fourth letter of (Pile, Pillow, Pilgrim), the first word will be 'Pile', then 'Pilgrim', and then, at last, it will be 'Pillow'. ​So, this sequence is incorrect.

Thus, the correct answer is option (b).