Permutations and Combinations
Showing 50 of 278 · 278 total
- 1.A person has three different bags and four different books.Medium
- 2.A building has ground floor and 10 more floors.Medium
- 3.The number of 4-letter words, with or without meaning, each consisting of two vowels and t…Medium
- 4.A box contains 5 blue, 6 yellow and 4 red balls.Medium
- 5.Let A=(a,b,c):a,b,c are non-negative integers and a+b+2c=22.Medium
- 6.The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are n…Medium
- 7.Let p_n denote the total number of triangles formed by joining the vertices of an n-side r…Medium
- 8.The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7…Medium
- 9.The number of elements in the set S=(r,k):k Z^36C_r+1=6(^35C_r)(k^2-3) is :Hard
- 10.Let S=1,2,3,4,5,6,7,8,9.Medium
- 11.The letters of the word "UDAYPUR" are written in all possible ways with or without meaning…Medium
- 12.The largest value of n, for which 40^n divides 60!, isMedium
- 13.The number of ways, in which 16 oranges can be distributed to four children such that each…Easy
- 14.The largest n N, for which 7^n divides 101!, is :Medium
- 15.The number of strictly increasing functions f from the set 1,2,3,4,5,6 to the set 1,2,3, .…Medium
- 16.There are 12 points in a plane, no three of which are in the same straight line, except 5 …Medium
- 17.From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which sho…Medium
- 18.Line L_1 of slope 2 and line L_2 of slope (1)/(2) intersect at the origin O .Medium
- 19.The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the…Medium
- 20.The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain ex…Medium
- 21.If all the words with or without meaning made using all the letters of the word "KANPUR" a…Medium
- 22.Let P be the set of seven digit numbers with sum of their digits equal to 11.Medium
- 23.Let ^nC_r-1=28,^nC_r=56 and ^nC_r+1=70.Hard
- 24.The number of different 5 digit numbers greater than 50000 that can be formed using the di…Medium
- 25.Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls.Medium
- 26.The number of words, which can be formed using all the letters of the word "DAUGHTER", so …Medium
- 27.In a group of 3 girls and 4 boys, there are two boys B_1 and B_2.Medium
- 28.From all the English alphabets, five letters are chosen and are arranged in alphabetical o…Medium
- 29.The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS…Medium
- 30.Let [[t]] be the greatest integer less than or equal to t.Hard
- 31.If all the words with or without meaning made using all the letters of the word "NAGPUR" a…Medium
- 32.Let 0 r n.Medium
- 33.The number of triangles whose vertices are at the vertices of a regular octagon but none o…Medium
- 34.Let the set [S=2,4,8,16, , 512] be partitioned into 3 sets A, B, C with equal number of el…Hard
- 35.60 words can be made using all the letters of the word BHBJO, with or without meaning.Medium
- 36.There are 5 points P_1, P_2, P_3, P_4, P_5 on the side A B, excluding A and B, of a triang…Medium
- 37.If n is the number of ways five different employees can sit into four indistinguishable of…Medium
- 38.The number of ways in which 21 identical apples can be distributed among three children su…Medium
- 39.If for some m,n;^6C_m+2(^6C_m+1)+^6C_m+2>^8C_3 and ^n-1P_3:^nP_4=1:8, then ^nP_m+1+^n+1C_m…Medium
- 40.Number of ways of arranging 8 identical books into 4 identical shelves where any number of…Medium
- 41.Let =(4!)!(4!)^3! and =(5!)!(5!)^4!.Medium
- 42.The total number of three-digit numbers, divisible by 3, which can be formed using the dig…Medium
- 43.All words, with or without meaning, are made using all the letters of the word MONDAY.Medium
- 44.The number of five digit numbers, greater than 40000 and divisible by 5 , which can be for…Medium
- 45.If the letters of the word MATHS are permuted and all possible words so formed are arrange…Medium
- 46.The number of triplets (x,y,z), where x,y,z are distinct non negative integers satisfying …Medium
- 47.Eight persons are to be transported from city A to city B in three cars of different makes…Medium
- 48.If the number of words, with or without meaning, which can be made using all the letters o…Medium
- 49.The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowe…Medium
- 50.The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no …Medium