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Accelerate JEE 2020: Permutation & Combination Class 4 (19.09.2019)

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Question 1

A class has n students, we have to form a team of the students including at least two students and also excluding at least two students.
The number of ways of forming the team is

Question 2

There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?

Question 3

There are three coplanar parallel lines. If any point p are taken on each line, the maximum number of triangles with vertices at these points:

Question 4

A father with seven children takes four at a time to the zoo. He cannot make the same four children go together more than once. After how much time will he go? How later will each child go?

Question 5

Let denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. If then n equals:
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Feb 18JEE & BITSAT