Which of the following statements is incorrect?

$C_{60}$  has both  $s{p}^2$ and $s{p}^3$  hybridized carbons

$C_{60}$ has two types of carbon – carbon bond lengths

$C_{60}$ has both five and six membered rings

Fullerenes are the pure form of carbon because they have smooth structure without  having ‘dangling’ bonds.