Question

five friends megha, meghna, mehak, menka and meenakshi are to be seated on a round table such that megha never sits next to meghna. in how many ways is it possible?

Answer 1

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Answer 2

Answer:

There are 12 possible ways that Megha never sits next to Meghna

Step-by-step explanation:

Given,

Five friends megha, meghna, mehak, menka and meenakshi are to be seated on a round table

So,

Total ways in which 5 girls can sit around round table is ( 5 - 1 )! = 4!

4 ! = 4 * 3 * 2 * 1 = 24

Now,

It is given that  megha never sits next to meghna

The number of ways in which Megha and Meghna sits together is

( 3 ! ) *2 = ( 3 * 2 * 1 ) * 2

= 12 ways

Therefore,

Number of ways in which megha never sits next to meghna =

Total ways – Together case  

24 - 12 = 12

Hence,

There are 12 possible ways that Megha never sits next to Meghna