Indian cricket team sits down for dinner at a round table in how many arrangements is rahul flanked by sachin - Maths - Permutations and Combinations

Question

Indian cricket team sits down for dinner at a round table in how
many arrangements is rahul flanked by sachin and saurav

Ashish Shukla · Accepted Answer

Dear Student,
Since Rahul is supposed to be flanked by Sachin and Saurav in all the arrangement
 Lets consider instead of This three ( rahul,saurav and sachin) to be 3 object we will consider them to be 1So we have total 9 persons to arrangeNo of combination =(n-1)!=(9-1)!=8!=40320 ways
Also sourav and sachin can replace there places in 2 ways
either from left to right or right to left
so we need to multipy with 2Number of possible combination will be =2×8!=80640
Regards

Indian cricket team sits down for dinner at a round table.in how many arrangements is rahul flanked by sachin and saurav