In class, there are 15 boys and 10 girls. How many ways a teacher can select 1 boy and 1 girl to represent the class at a seminar?

There are 15 boys and 10 girls as per the given details,

Therefore total strength is 25

The no of ways to select 3 members out of 25 is 25 c 3

= 25*24*23/6=2300

then no of ways to select 2 boys and 1 girl is (15 c 2)*(10 c 1)

=(15*14/2)*10

=1050

then the probability to select 2 boys and 1 girl is 1050/2300

=21/46

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