MEDIUM
CAT
IMPORTANT
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From 4 gentlemen and 4 ladies, a committee of 5 is to be formed. The committee consists of a president, a vice-president and three secretaries. What will be the number of ways of selecting the committee with at least 3 women, such that at least one woman holds the post of either a president or a vice-president?

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Important Questions on Permutations and Combinations

EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 9
Find the number of ways of selecting the committee with a maximum of 2 women and having at the maximum one woman holding one of the two posts on the committee.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 10
The crew of an 8 member rowing team is to be chosen from 12 men, of which 3 must row on one side only and 2 must row on the other side only. Find the number of ways of arranging the crew with 4 members on each side.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 11
In how many ways, 5 MBA students and 6 Law students can be arranged together so that no two MBA students are side by side?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 12
The latest registration number issued by the Delhi Motor Vehicle Registration Authority is DL-5S 2234. If all the numbers and alphabets before this have been used up, then find how many vehicles have a registration number starting with DL-5?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 13
There are 100 balls numbered n1, n2, n3, n4,.....n100. They are arranged in all possible ways. How many arrangements would be there in which n28, ball will always be before n29 ball and the two of them will be adjacent to each other?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 14
Find the sum of the number of sides and number of diagonals of a hexagon.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 15
A tea party is arranged for 2M people along two sides of a long table with M chairs on each side. R men wish to sit on one particular side and S on the other. In how many ways can they be seated (provided R, S ≤ M).
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 26 - Permutations and Combinations>Level of Difficulty>Q 16
In how many ways can 'mn' things be distributed equally among n groups?