MEDIUM
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IMPORTANT
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If the letters of the word PARKAR are written down in all possible manner as they are in a dictionary, then the rank of the word PARKAR is 

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Important Questions on Permutation and Combination

MEDIUM
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IMPORTANT
The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is:
HARD
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IMPORTANT
Consider a rectangle ABCD having 5,6,7,9 points in the interior of the line segments AB, BC, CD, DA respectively. Let α be the number of triangles having these points from different sides as vertices and β be the number of quadrilaterals having these points from different sides as vertices. Then β-α is equal to
MEDIUM
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IMPORTANT
In order to get through in an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails. The number of ways in which he can fail, in this examination is
MEDIUM
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IMPORTANT
In a car with seating capacity of exactly five persons, two persons can occupy the front seat and three persons can occupy the back seat. If amongst the seven persons, who wish to travel by this car, only two of them know driving, then the number of ways in which the car can be fully occupied and driven by them, is
EASY
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IMPORTANT
Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. The number of ways in which the sailor can be arranged on the boat is
EASY
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IMPORTANT
The number of ways in which 10 identical toys can be distributed among 3 students, if each receives at least two toys is
HARD
MHT-CET
IMPORTANT
From a group of 10 men and 8 women, the number of ways of forming a committee of 8 members with not more than 5 men and not less than 5 women is
MEDIUM
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IMPORTANT
A team of four students is to be selected from a total of 12 students. Total number of ways in which team can be selected such that two particular students refuse to be together and other two particular students wish to be together only, is equal to