EASY
11th CBSE
IMPORTANT
Earn 100

In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 312 ways.

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Important Questions on Permutations and Combinations

EASY
11th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 11>Chapter 7 - Permutations and Combinations>EXERCISE>Q 55
If some or all of n objects are taken at a time, the number of combinations is 2n-1.
EASY
11th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 11>Chapter 7 - Permutations and Combinations>EXERCISE>Q 56
There will be only 24 selections containing at least one red ball out of a bag containing 4 red and 5 black balls. It is being given that the balls of the same colour are identical.
MEDIUM
11th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 11>Chapter 7 - Permutations and Combinations>EXERCISE>Q 57
Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is 11!5!6! 9!9!.
MEDIUM
11th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 11>Chapter 7 - Permutations and Combinations>EXERCISE>Q 58
A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. He can choose the seven questions in 650 ways.
EASY
11th CBSE
IMPORTANT
NCERT Exemplar Mathematics - Class 11>Chapter 7 - Permutations and Combinations>EXERCISE>Q 59
To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is C35×C920.