IPMAT Indore 2023 (MCQ) PYQs

If 5 boys and 3 girls sit randomly around a circular table, the probability that there will be at least one boy sitting between any two girls is

The number of values of $x$ for which $C \binom {17-x}{3x+1}$ is defined as an integer is

The total number of positive integer solutions of $21 ≤ a + b + c ≤ 25$ is