Millionaire Mode

Burnside's Lemma

Question 1 of 15

Let $G$ be a group acting on a set $X$. The number of orbits of $G$ on $X$ is equal to:

  1. The number of elements in $G$
  2. The number of elements in $X$
  3. The number of fixed points of $G$ on $X$
  4. The average number of elements in each orbit

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000