16 solved questions on Permutations and Combinations, ranging from easy to JEE-Advanced-flavour hard. Click any to see the full solution.
C(n,r) + C(n,r+1) = C(n+1, r+1).
View solution →The number of diagonals in a hexagon is $x$.
View solution →How many straight lines can be drawn through 10 points of which 4 are collinear?
View solution →The number of ways to select a cricket team of 11 from 15 players (including a captain) is:
View solution →C(n, r) = C(n, n-r) for all n and r.
View solution →C(n, 2) = 10. Then n = $x$.
View solution →From 6 men and 5 women, a committee of 4 is formed with exactly 2 men. The number of ways is:
View solution →C(10, 3) =
View solution →The number of permutations of n distinct objects is n!.
View solution →The number of 4-digit numbers that can be formed from digits 1,2,3,4,5 (repetition allowed) is $x$.
View solution →The number of ways to arrange the letters of "BALLOON" is:
View solution →The number of permutations of n objects taken r at a time is:
View solution →If there are m ways to do one thing and n ways to do another, then there are m+n ways to do either.
View solution →The number of ways to arrange the letters of the word "DROP" is $x$.
View solution →How many 3-digit numbers can be formed using digits 1, 2, 3, 4 (repetition not allowed)?
View solution →A person has 3 shirts and 2 pants. The number of outfits possible is:
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