The number of ways in which 8 people numbered from 1 to 8 can be seated in a circular table so that 1 always sits between 2 and 3 is ____

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let the persons be denoted by x1, x2, x3….x8.
The number of ways to seat 8 people is (8-1)!= 7! ways
Since the first three persons x1, x2 and x3 has to be arranged as (x2,x1,x3) or (x3,x1,x2), this arrangement should be treated as one person denoted as X
The number of ways this arrangement can be done is 2 ways
Hence the new arrangement would be X, x4, x5….x8
The number of ways 6 people can be arranged is (6-1)= 5! = 120ways
The total number of ways is 2x120= 240 ways.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET