Explanation:

- Option 1: 1841

This year does not relate to E.B. Tylor's work directly. It is too early for the publication of his influential ideas.

- Option 2: 1861

E.B. Tylor would not have coined the term in this year. His major work that defined "culture" came later.

- Option 3: 1871

E.B. Tylor introduced the modern concept of "culture" in his book "Primitive Culture", published in 1871. He described culture as a complex whole, including knowledge, beliefs, art, morals, law, customs, and other capabilities acquired by people as members of society.

- Option 4: 1881

This year falls after Tylor's major publication. His concept of culture had already been published a decade earlier.