Home
Class 11
MATHS
In a class there are 15 boy and 12 girls...

In a class there are 15 boy and 12 girls. The teacher wants to select 1 boy and 1 girl to represent the class for a function. In how many ways can the teacher make the selection?

Text Solution

Verified by Experts

Here the teacher is to perform two operations:
(i) selecting 1 boy out of 15 boys,
and (ii) selecting 1 girl out of 12 girls.
The first of these can be done in 15 ways and the second in 12 ways.
So, by the fundamental principle of multiplication, the required number of ways `=(15xx12)=180.`
Hence, the teacher can make the selection of 1 boy and 1 girl in 180 ways.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PERMUTATIONS

    RS AGGARWAL|Exercise ILLUSTRATIVE EXAMPLES|25 Videos

  • PERMUTATIONS

    RS AGGARWAL|Exercise SOLVED EXAMPLES|30 Videos

  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8H (Very-Short-Answer Questions)|16 Videos

  • PARABOLA

    RS AGGARWAL|Exercise EXERCISE-22|10 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    RS AGGARWAL|Exercise EXERCISE 4|23 Videos

Similar Questions

Explore conceptually related problems

In a class there are 27 boys and 14 girls.The teacher wants to select 1 boy and 1 girl to represent the class in a function.In how many ways can the teacher make this selection?

In a class there are 12 boys and 7 girls. The teacher wants to select either a boy or a girl to represent the class in a competition. In how many ways can the teacher make this selection.

Knowledge Check

  • There are 25 students in a class among which 15 are boys and 10 are girls. The class teacher selects either a boy or a girl as monitor of the class. In how many ways the class teacher can make this selection?

    A
    25
    B
    150
    C
    35
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    In a class there are 30 boys and 18 girls. The teacher wants to select one boy and one girls. The teacher wants to select one boy and one girls to represent the class for a quliz competition. In how many ways can the teacher make this selection ?

    In a class there are 10 boys and 8 girls.The teacher wants to select either a boy or a girl to represent the class in a function.The number of ways the teacher can make this selection.

    In a class there are 16 boys and 9 girls. The teacher wants to select either a boy a girl as a class representative. In how many ways can the teacher make the selection?

    In a 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 25 students in a class with 15 boys and 10 girls. The class teacher selects either a boy or a girl for monitor post of the class. In how many ways, the class teacher can make this selection?

    There are 25 students in a class in which 15 boys and 10 girls. The class teacher select either a boy or girl for monitor of the class. In how many ways the class teacher can make this selection?

    There are 35 students in a class in wjhich there are 22 boys and 13 girls . The class teacher select either a boy or a girl for monitor of the class. In how many ways the class teacher can make this selection ?

    Home
    Profile