6UUWS.A group of 8 friends travels to the airport in[2]no mriends travels to the airport in two taxis, P and Q. Each taxi can take 4 passengers.as the 8 friends divide themselves into two groups of 4, one group for taxi P and one group for taxiC, with Jon and Sarah travelling in the same taxi.Find the number of different ways in which this can be done.
Answers
Given : A group of 8 friends travels to the airport in two taxis , Each taxi can take 4 passengers. Jon and Sarah travelling in the same taxi.
To find : the number of different ways in which they can travel to airport
Solution:
Total Friends = 8
Jon and Sarah traveling in the same taxi.
so we have 6 friends left
out of these 6 friends 4 friend will be travelling in one taxi
Hence 4 friends out of 6 friends can be selected in ⁶C₄ ways = 15 ways
and these 4 friend can travel in either taxi hence in 2 ways
Total Number of Ways = 15 * 2 = 30
in 30 Ways they can travel to Airport Such that Jon and Sarah travelling in the same taxi
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