Millionaire Mode

Binomial Coefficients and Combinatorics

Question 1 of 13

What is the formula for calculating the binomial coefficient of n and k, denoted as (\binom{n}{k})?

  1. $\(\binom{n}{k} = \frac{n!}{k!}\)
  2. $\(\binom{n}{k} = \frac{n!}{(n-k)!}\)
  3. $\(\binom{n}{k} = \frac{(n+k)!}{n!}\)
  4. $\(\binom{n}{k} = \frac{(n+k)!}{k!}\)

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