questionrEarly access

Permutations and Combinations

Showing 50 of 278 · 278 total
  1. 51.Let the number of elements in sets A and B be five and two respectively.
  2. 52.All the letters of the word PUBLIC are written in all possible orders and these words are …
  3. 53.The number of ways of selecting two numbers a and b, a 2,4,6, ., 100 and b 1,3,5, .
  4. 54.Suppose that 20 pillars of the same height have been erected along the boundary of a circu…
  5. 55.All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a …
  6. 56.The number of four letter words that can be formed using the letters of the word BARRACK i…
  7. 57.Two players A and B play a series of games of badminton.
  8. 58.Three persons enter in a lift at the ground floor.
  9. 59.The number of numbers greater than 5000 , less than 9000 and divisible by 3 , that can be …
  10. 60.Let S denote the set of 4-digit numbers a b c d such that a>b>c>d and P denote the set of …
  11. 61.The number of 4 -letter words, with or without meaning, which can be formed using the lett…
  12. 62.Let ABC be a triangle.
  13. 63.Let S=(m, n): m, n 1,2,3, .
  14. 64.Let m and n,(m<n), be two 2-digit numbers.
  15. 65.All five letter words are made using all the letters A, B, C, D, E and arranged as in an E…
  16. 66.If the number of seven-digit numbers, such that the sum of their digits is even, is m n 10…
  17. 67.The number of 6-letter words, with or without meaning, that can be formed using the letter…
  18. 68.The number of natural numbers, between 212 and 999, such that the sum of their digits is 1…
  19. 69.Number of functions f:1,2, ,100 0,1, that assign 1 to exactly one of the positive integers…
  20. 70.The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and…
  21. 71.The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit to…
  22. 72.The number of integers, between 100 and 1000 having the sum of their digits equals to 14 ,…
  23. 73.The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetiti…
  24. 74.The number of ways of getting a sum 16 on throwing a dice four times is ________.
  25. 75.There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B.
  26. 76.The number of elements in the set S=(x,y,z):x,y,z Z,x+2y+3z=42,x,y,z 0 equals __________.
  27. 77.The total number of words (with or without meaning) that can be formed out of the letters …
  28. 78.In an examination of Mathematics paper, there are 20 questions of equal marks and the ques…
  29. 79.All the letters of the word "GTWENTY" are written in all possible ways with or without mea…
  30. 80.A person forgets his 4-digit ATM pin code.
  31. 81.Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the di…
  32. 82.The number of seven digit positive integers formed using the digits 1,2,3 and 4 only and s…
  33. 83.Let the digits a, b, c be in A.
  34. 84.In an examination, 5 students have been allotted their seats as per their roll numbers.
  35. 85.The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 i…
  36. 86.The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neithe…
  37. 87.Some couples participated in a mixed doubles badminton tournament.
  38. 88.The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 c…
  39. 89.The number of ways of giving 20 distinct oranges to 3 children such that each child gets a…
  40. 90.The number of words, with or without meaning, that can be formed using all the letters of …
  41. 91.Let A=[a_ij],a_ij Z [0,4],1 i,j 2.
  42. 92.If ^2n+1P_n-1:^2n-1P_n=11:21, then n^2+n+15 is equal to : Answer: 45
  43. 93.The number of seven digits odd numbers, that can be formed using all theseven digits 1, 2,…
  44. 94.The number of six letter words (with or without meaning), formed using all the letters of …
  45. 95.The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repet…
  46. 96.The number of words (with or without meaning) that can be formed from all the letters of t…
  47. 97.Let ABC be a triangle.
  48. 98.Let S denote the set of 4-digit numbers abcd such that a > b > c > d, and P denote the set…
  49. 99.Three persons enter a lift at the ground floor.
  50. 100.The number of strictly increasing functions f from the set 1,2,3,4,5,6 to the set 1,2,,9 s…