Appearance of new combinations in $F_2$ generation of a dihybrid cross proves the law of . . . . . . .

The law of dihybrid cross proves which of the following?

Find out the frequency of $AabbCcDdee$ if parents are $AabbCCddEe$ and $AabbccDdee$. (in $\%$)

$A, B, D$ are three independently assorting genes with their recessive alleles $a, b, d$,respectively. $A$ cross was made between individuals of $Aa bb DD$ genotype with $aa bb dd$. Find out the types of genotypes of the offspring produced.

In the $F_2$ generation of a Mendelian dihybrid cross,how many plants homozygous for both the traits are found?

From a mating of two dihybrid individuals $(AaBb \times AaBb)$,how many of the $16$ possible zygote combinations would be expected to contain only two dominant genes?