Answer:
The correct answer is option B) The Nutcracker was Tchaikovsky's only ballet NOT choreographed by Marius Petipa.
Step-by-step explanation:
Marius Petipa choreographed the original production of "The Nutcracker" together with Lev Ivanov in 1891.
Petipa also took part on the creation of the script, based on Alexandre Dumas 1845's transcript "The tale of the Nutcracker", which original was named "The Nutcracker and The Mouse King", written by Ernst Theodor Amadeus Hoffman earlier in 1816.
I hope it helps!