MEDIUM
JEE Main
IMPORTANT
Earn 100
Let be an integer. Suppose that there are Metro stations in a city located around a circular path. Each pair of the nearest stations is connected by a straight track only. Further, each pair of the nearest station is connected by blue line, whereas all remaining pairs of stations are connected by red line. If number of red lines is times the number of blue lines, then the value of is
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Important Questions on Permutation and Combination
EASY
JEE Main
IMPORTANT
The value of ( up to term)( up to term) is equal to
MEDIUM
JEE Main
IMPORTANT
The total number of digit numbers whose sum of digits is , is ..........
MEDIUM
JEE Main
IMPORTANT
The value of is equal to:
MEDIUM
JEE Main
IMPORTANT
A test consists of multiple choice questions, each having alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is ___________
MEDIUM
JEE Main
IMPORTANT
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike, is
MEDIUM
JEE Main
IMPORTANT
There are sections in a question paper and each section contains questions. A candidate has to answer a total of questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is
MEDIUM
JEE Main
IMPORTANT
Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated ?
MEDIUM
JEE Main
IMPORTANT
The number of words (with or without meaning) that can be formed from all the letters of the word in which vowels never come together is.....
