Step 1: Understanding the Concept:
Meiosis generates vast novel allelic combinations through two primary cellular mechanisms.
Step 2: Detailed Explanation:
1. Statement I is correct: Homologous recombination (crossing-over during pachytene) physically breaks and rejoins maternal and paternal chromatids, generating novel intra-chromosomal recombinant gene combinations.
2. Statement II is false: Independent assortment of non-homologous chromosomes during Anaphase I randomly shuffles maternal and paternal chromosomes into $2^n$ unique gametic combinations, acting as a major fundamental source of inter-chromosomal genetic variation.
Step 3: Final Answer:
Hence, Statement I is correct but Statement II is false.