- There are 5 men and 4 women, in how many ways can you form a committee of four having two men and two women.
Share
- There are 5 men and 4 women, in how many ways can you form a committee of four having two men and two women.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Given
Number of boys = 5
Number of girls= 4
Concept
nCn = nC0 = 1
Calculation
As there is at least 2 girls from the committee of 4 members. Therefore there could be 2,3 and 4 girls in a committee.
So,
5B0 × 4G 4+ 5B1× 4G 3+ 5 B 2 × 4 G 2
⇒ 1 + (5 × 4!/1! × 4!) × (4 × 3!/3! × 1!) + (5 × 4 × 3!/2 × 1 × 3!) × (4 × 3 × 2 × 1)/(2 × 1 × 2 × 1)
⇒ 1 + 20 + 60
⇒ 81
Step-by-step explanation:
Length of fence of trapezium ABCD=AB+17+48+40
⇒120=105+AB
⇒AB=15 m
Area of trapezium
=
2
1
×Sum of Parallel sides×Distance between Parallel sides
=
2
1
[(40+48)×15]=660 sq. metres