Let N denote the sum of the numbers obtained when two dice are rolled. If the probability that $2^N<N!$ is $\frac{m}{n}$, where $m$ and $n$ are coprime, then $4m-3n$ is equal to

JEE Main 2023 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 10 April 2023, Shift 1, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A.

Let N denote the sum of the numbers obtained when two dice are rolled. If the probability that

2^N<N!

\frac{m}{n}

, where

m

and

n

are coprime, then

4m-3n

is equal to

Official answer

Option 3

NTA final key.