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IIT-JEE 2026

JEE MT1-PERMUTAIONS AND COMBINATIONS

Greetings from LEARN TO LEAD ACADEMY !!!

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Greetings from LEARN TO LEAD ACADEMY !!! All the best !!!

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  1. Every body in a room shakes hands with every body else. The total number of hand shakes is 66. The total number of persons in the room

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2. The number of different permutations of the word BANANA, is

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3. The number of arrangements which can be made using all the letters of the word LAUGH, if the vowels are adjacent, is

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4. The number of ways in which any four letters can be selected from the word 'CORGOO' is

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5. The letters of the word RANDOM are written in all possible orders and these words are written out as in a dictionary, then the rank of the word RANDOM, is

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6. Total number of four digit odd numbers that can be formed by using 0,1,2,3,5,7, is

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7. The number of permutations of all the letters of the word 'EXERCISES', is

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8. The number of committees of 5 persons consisting of at least one female member, that can be formed from 6 males and females, is

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9. The number of ways in which a team of eleven players can be selected from 22 players including 2 of them and excluding 4 of them, is

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10. In a football championship, 153 matched were played.  Every team played one match with each other. The number of teams participating in the championship, is

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11. There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated, is

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12. In a group of boys, two boys are brothers and in this group, 6 more boys are there. In how many way, they can sit if the brothers are not to sit along with each other:

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13. The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between two boys ,is

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14. The number of 4-digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition, is

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15.  In a cricket championship there are 36 matches. The number of teams if each plays one match with other, is

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