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Answers
Answer:
Step-by-step explanation:
6 boys and 6 girls sit in a row at random.
Then, the total number of arrangements of 6 boys and 6 girls = arrangement of 12 people = 12!
If the boys and girls sit alternatively
The required probability in that case would be :
6/12=1/2
Answer:
1/462
Step-by-step explanation:
Given: 6 boys and 6 girls.
∴ There are 12 persons.
All of them can be seated in 12! ways.So,Total number of possible events = 12!.
Now,
The arrangement of siting of 6 boys and 6 girls alternatively in a row may start with either a boy of girl. So, 2 types of starting are possible.
Type-1: BGBGBGBGBGBG
Type-2: GBGBGBGBGBGB
In each type 5 boys and 5 girls may take their positions in 6! ways. So, total the total number of favorable events will be:
= 2*6!*6!
Required probability = Favorable number of events/Possible number of events
= 2 * 6! * 6!/12!
= 5! * 6!/11!
= 3/(11 * 9 * 2 * 7)
= 1/462.
Hope it helps!