Answer to Question #265257 in Combinatorics | Number Theory for Utkarsh Mehrotra

Question

Let there are n planes in R³ such that any three have exactly one point in common and no four of them have a point in common. If f(n) represent the number of parts in which these n planes will divide the space, then

(A) f(3) = 8

(B) f(4) = 15

(C) f(4) = 12

(D) f(10) = 176