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the number of ways of arranging 6 boys and 5 girls round a table so that the boys come together...

the number of ways of arranging 6 boys and 5 girls round a table so that the boys come together...

Grade:12

1 Answers

deepak
84 Points
4 years ago
the no of ways in which boys come together can be calculated by subtracting the t.no of ways where boys dont come together from the total no of ways
 
there exists only 6 types of order where boys dont come together they are
 
B-G-B-G-B-G-B-G-B-G-G  …....1
B-G-B-G-B-G-B-G-G-B-G ….….2
B-G-B-G-B-G-G-B-G-B-G   ….…..3
B-G-B-G-G-B-G-B-G-B-G  ….…..4
B-G-G-B-G-B-G-B-G-B-G …....5
G-B-G-B-G-B-G-B-G-B-G ….…..6
 
hence the total no of ways of boys coming together is total no of ways minus 6
= 462−6= 456
 
hope this was useful

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