PERMUTATION & COMBINATION | IIT JEE CONCEPTS | Part 1 | JEE Main 2013 | Atleast and Atmost Selection - Videos

In this video, we will learn an important concept of selection or combination based on the restriction given in the question that atleast or atmost “n” number of objects are always selected.

JEE Main 2013 Question Discussed
A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes atleast one lady, atleast one old man and atmost 2 young man. Then, the total number of ways in which this committee can be formed is:
(A) 40 (B) 41 (C) 16 (D) 32
Answer (B)

TRY YOURSELF Question
AIEEE 2003 Question
A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is
(A) 346 (B) 140 (C) 196 (D) 280
Answer (C)

IIT JEE ADVANCED 2016 Question
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include atmost one boy. Then the number of ways of selecting the team is
(A) 380 (B) 320 (C) 260 (D) 95
Answer (A)

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