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I really need help
Betty has 6 grandchildren: Jeni, Sarah, Rachel, Kristen, Lindsey, and Carolyn. Jeni, Sarah, and Rachel are sisters; Kristen and Carolyn are sisters; and Lindsey is an only child

If the sisters must sit together, how many different ways can the 6 grandchildren be seated at a circular table?

Respuesta :

jushmk
There are three groups of grandchildren. That is, 3 sisters, 2 sisters and 1 child.
Now,
Number of ways of all of them to sit = 3! = 6 ways
Numbers of ways in which three sisters can sit = 3! = 6 ways
Number of ways in which two sisters can sit = 2! = 4
Number of ways in which the child can sit = 1! = 1

Therefore,
Total number of ways in which the grandchildren can sit = 6*6*4*1 = 144 ways.

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