JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then :
- An = m – 8
- Bm = n = 78
- Cm + n = 68
- Dm = n = 68
More from Permutations and Combinations
- Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is :2019 · MCQ
- The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to :2019 · MCQ
- Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements…2019 · MCQ
- The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is :2019 · MCQ
- Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is :2019 · MCQ
- If then K is equal to :2019 · MCQ
- The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is :2019 · MCQ
- A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is…2019 · MCQ