EASY
JEE Main/Advance
IMPORTANT
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Let A be a set of n, ≥3 distinct elements. The number of triplets x, y, z of the A elements in which atleast two coordinates is equal to

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Important Questions on Permutation and Combination

EASY
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 12
The number of four-digit numbers that can be made with the digits 1, 2, 3, 4 and 5 in which at least two digits are identical is
HARD
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 13
The total number of five-digit numbers of different digits in which the digit in the middle is the largest is
EASY
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 14
The number of numbers formed by nine non-zero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle, is
MEDIUM
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 15
Total number of words that can be formed using all letters of the word"BRIJESH" that neither begins with "I" nor ends with "B" is -
HARD
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 16
Total number less than 3×108 and can be formed using the digits 1,2,3 is equal to
HARD
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 17
If all the permutations of the letters in the word OBJECT are arranged (and numbered serially) in alphabetical order as in a dictionary, then the 717th word is
EASY
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 18
How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying between 3000 and 4000, which are divisible by 5 while repetition of any digit is not allowed in any number ?
EASY
JEE Main/Advance
IMPORTANT
Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 7 - Permutation and Combination>Exercises>Q 19
In a three-storey building, there are four rooms on the ground floor, two on the first and two on the second floor. If the rooms are to be allotted to six persons, one person occupying one room only, the number of ways in which this can be done so that no floor remains empty is