IPMAT Indore 2024 (MCQ) PYQs

Mrs and Mr Sharma, and Mrs and Mr Ahuja along with four other persons are to be seated at a round table for dinner. If Mrs and Mr Sharma are to be seated next to each other, and Mrs and Mr Ahuja are not to be seated next to each other, then the total number of seating arrangements is _________.

How many different numbers can be formed by using only the digits 1 and 3 which are smaller than 3000000?

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