Discussion

Explanation:

If we divide the given input into 5 groups with 2 words each then the groups can be written as:
 
Group 1: Smile Nile

Group 2: Style Mile

Group 3: Shine Wine

Group 4: Mine Swine

Group 5: Bovine Feline

 Group numbers are given in the order in which they are given in that STEP.
 
Then the steps of rearrangement can be written as:

STEP 1: Position of group 4 is interchanged with position of group 5.

STEP 2: Position of group 1 in step 1 is interchanged with position of group 2.

STEP 3: Position of the words of group 3 in step 2 is interchanged.

STEP 4: Position of words of group 1, group 2, group 3 and group 5 are interchanged.
 
For example: If the words in group 1 in step 3 are Smile Nile then the words in group 1 of step 4 will be Nile Smile.

STEP 5: Position of group 1 is interchanged with position of group 2 and position of group 4 is interchanged with position of group 5.

STEP 6: Position of group 4 is interchanged with the position of group 5.

STEP 7: Position of group 1 is interchanged with the position of group 2.
 
∴ We can say that the algorithm of rearrangement repeats after 5 steps.

∴ STEP 8 for the given input will be:
 
STEP 8: Mile Style  Nile Smile  Shine Wine  Feline Bovine  Swine Mine

STEP 9: Style Mile  Smile Nile  Shine Wine  Bovine Feline  Mine Swine

STEP 10: Smile Nile  Style Mile  Shine Wine  Mine Swine  Bovine Feline

STEP 11: Smile Nile  Style Mile  Shine Wine  Bovine Feline  Mine Swine

STEP 12: Style Mile  Smile Nile  Shine Wine  Bovine Feline  Mine Swine

STEP 13: Style Mile  Smile Nile  Wine Shine  Bovine Feline  Mine Swine

STEP 14: Mile Style  Nile Smile  Wine Shine  Feline Bovine  Swine Mine

STEP 15: Nile Smile  Mile Style  Wine Shine  Swine Mine  Feline Bovine

STEP 16: Nile Smile  Mile Style  Wine Shine  Feline Bovine  Swine Mine

STEP 17: Mile Style  Nile Smile  Wine Shine  Feline Bovine  Swine Mine

STEP 18: Mile Style  Nile Smile  Shine Wine  Feline Bovine  Swine Mine

STEP 19: Style Mile  Smile Nile  Shine Wine  Bovine Feline  Mine Swine

STEP 20: Smile Nile  Style Mile  Shine Wine  Mine Swine  Bovine Feline

Referring the Steps given in the solution we get that,

STEP 20 is same as the given input.

Hence, option (c).

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