MEDIUM
Stage 1 & 2
IMPORTANT
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In an examination of 9 papers a candidate has to pass in more papers, then the number of paper in which he fails in order to be successful. The number of ways in which he can be unsuccessful, is

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Important Questions on Permutations and Combinations

HARD
Stage 1 & 2
IMPORTANT
If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?
MEDIUM
Stage 1 & 2
IMPORTANT

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl, if each cricket team of 11 must include exactly 4 bowlers?

EASY
Stage 1 & 2
IMPORTANT
In how many different ways can five boys and five girls form a circle such that the boys and girls set alternate?
HARD
Stage 1 & 2
IMPORTANT
In how many of the distinct permutations of the letters in the MISSISSIPPI do the four I's not come together?
EASY
Stage 1 & 2
IMPORTANT

In how many ways can the letters of the word PERMUTATIONS be arranged, if the words start with P and end with S?

MEDIUM
Stage 1 & 2
IMPORTANT

The number of ways in which seven persons can be arranged at a round table, if two particular persons may not sit together is

MEDIUM
Stage 1 & 2
IMPORTANT

How many numbers lying between 10 and 1000 can be formed from the digits 1,2,3,4,5,6,7,8,9 (repetition of digits is allowed?)

MEDIUM
Stage 1 & 2
IMPORTANT

Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is