Question

In the college, there are 48 students. Students are divided into 3 course B.com, B.sc and arts. Number of students are in B.com and B.SC courses are 8 and 16.  A committee is formed of five students from the college in such a way that the committee contains at least one student from B.Com course.
1. 1054296
2. 1234678
3. 2345148
4. 6745239
5. 1287654

Answer 1

Correct Answer - Option 1 : 1054296

Given

Total number of students = 48

Number if students in B.Com and B Sc course are 8 and 16

Calculation:

Total number of students = 48

Number of students in B.Com course = 8

Number of students in B.SC course = 16

Number of students in arts course = 48 – 8 – 16 = 24

B.com(number of students to form a committee of 5 students): 8 STUDENTS	B.sc and arts(number of students to form a committee  of students): 40 STUDENTS
1 student	4  students
2 students	3 students
3 students	2 students
4 students	1 student
5 students	0 student

⇒⁸C₁  × ⁴⁰C₄ + ⁸C₂  × ⁴⁰C₃ + ⁸C₂  × ⁴⁰C₂  + ⁸C₄  × ⁴⁰C₁ + ⁸C₅

= 1054296