First slide

Permutations

Question

In a group of 8 girls, two girls are sisters. The number of ways in which the girls can sit in a row so that two sisters are not sitting together is

Moderate

A

4820
B

1410
C

2830
D

30240

Solution

The required number of ways
= the number of ways in which 8 girls can sit in a row – the number of ways in which two sisters sit together
$= 8! - (2) (7!) = 30240$ .

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