5 Raman and Sanjay are members of a quiz team which has 9 members in total. Two photographs of the quiz team are to be taken.
For the first photograph, the 9 members will stand in a line.
- How many different arrangements of the 9 members are possible in which Raman will be at the centre of the line?
- How many different arrangements of the 9 members are possible in which Raman and Sanjay are not next to each other?
For the second photograph, the members will stand in two rows, with 5 in the back row and 4 in the front row. - In how many different ways can the 9 members be divided into a group of 5 and a group of 4?
- For a random division into a group of 5 and a group of 4, find the probability that Raman and Sanjay are in the same group as each other.