Final answer:
The statement is false. Mussorgsky and his colleagues were known as 'The Mighty Handful' or The Five, not 'The Mighty Few'. They aimed to create a distinctly Russian style of classical music in the 19th century.
Step-by-step explanation:
The statement that Mussorgsky and his colleagues were known as "The Mighty Few" is false. Modest Mussorgsky was actually a part of a group known as The Mighty Handful or The Five, which was a circle of Russian composers who worked in Saint Petersburg during the late 19th century. This group consisted of Mussorgsky, Mily Balakirev, César Cui, Alexander Borodin, and Nikolai Rimsky-Korsakov, who were devoted to producing a specifically Russian kind of classical music rather than following European models.
Despite differences in style, these composers shared common goals and influences. They sought to integrate Russian folk music and other national elements into their compositions, similar to how other composers like Berlioz, Strauss, and Wagner pushed the boundaries of music in their respective cultures.
The Mighty Handful were distinct from The Wanderers, who were a group of realist artists, and had no ties to figures like Trotskii or Kerenskii, or other political entities mentioned in the provided information. The focus was primarily on fostering a Russian national style in classical music.