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Permutations and Combinations

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  1. 201.The number of 6 digit numbers that can be formed using the digits 0,1,2,5,7 and 9 which ar…
  2. 202.The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and …
  3. 203.A group of students comprises of 5 boys and n girls.
  4. 204.n-digit numbers are formed using only three digits 2, 5 and 7.
  5. 205.The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, …
  6. 206.From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be …
  7. 207.If all the words, with or without meaning, are written using the letters of the word QUEEN…
  8. 208.The number of ways in which 5 boys and 3 girls can be seated on a round table if a particu…
  9. 209.A man X has 7 friends, 4 of them are ladies and 3 are men.
  10. 210.If all the words (with or without meaning) having five letters, formed using the letters o…
  11. 211.If the four letter words (need not be meaningful) are to be formed using the letters from …
  12. 212.The value of _r=1^15 r^2(^15C_r^15C_r-1) is equal to:
  13. 213.If ^n+2C_6^n-2P_2=11, then n satisfies the equation:
  14. 214.The sum _r=1^10(r^2+1)(r!) is equal to:
  15. 215.The number of points, having both coordinates as integers, that lie in the interior of the…
  16. 216.The number of integers greater than 6,000 that can be formed using the digits 3, 5, 6, 7 a…
  17. 217.The number of ways of selecting 15 teams from 15 men and 15 women, such that each team con…
  18. 218.Let A and B be two sets containing four and two elements respectively.
  19. 219.If in a regular polygon the number of diagonals is 54, then the number of sides of this po…
  20. 220.The sum of the digits in the unit's place of all the 4-digit numbers formed by using the n…
  21. 221.An eight digit number divisible by 9 is to be formed using digits from 0 to 9 without repe…
  22. 222.8-digit numbers are formed using the digits 1,1,2,2,2,3,4,4.
  23. 223.Two women and some men participated in a chess tournament in which every participant playe…
  24. 224.A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such tha…
  25. 225.The number of ways in which an examiner can assign 30 marks to 8 questions, giving not les…
  26. 226.On the sides AB, BC, CA of a ABC, 3, 4, 5 distinct points (excluding vertices A, B, C) are…
  27. 227.5-digit numbers are to be formed using 2, 3, 5, 7, 9 without repeating the digits.
  28. 228.Let A and B be two sets containing 2 elements and 4 elements respectively.
  29. 229.Let T_n be the number of all possible triangles formed by joining vertices of an n-sided r…
  30. 230.If the number of 5-element subsets of the set A=a_1,,a_20 of 20 distinct elements is k tim…
  31. 231.Statement 1: If A and B be two sets having p and q elements respectively, where q>p.
  32. 232.The number of arrangements that can be formed from the letters a,b,c,d,e,f taken 3 at a ti…
  33. 233.If n=m2, then the value of n2 is given by:
  34. 234.If seven women and seven men are to be seated around a circular table such that there is a…
  35. 235.Assuming the balls to be identical except for difference in colours, the number of ways in…
  36. 236.There are 10 points in a plane, out of these 6 are collinear.
  37. 237.Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes suc…
  38. 238.There are two urns.
  39. 239.How many different words can be formed by jumbling the letters in the word MISSISSIPPI in …
  40. 240.The set S=1,2,3,,12 is to be partitioned into three sets A, B, C of equal size.
  41. 241.At an election, a voter may vote for any number of candidates, not greater than the number…
  42. 242.If the letters of the word SACHIN are arranged in all possible ways and these words are wr…
  43. 243.The value of ^50C_4 + _r=1^6^56-rC_3 is:
  44. 244.How many ways are there to arrange the letters in the word GARDEN with vowels in alphabeti…
  45. 245.The range of the function f(x) = ^7-xP_x-3 is:
  46. 246.The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of t…
  47. 247.The number of ways in which 6 men and 5 women can dine at a round table if no two women ar…
  48. 248.A student is to answer 10 out of 13 questions in an examination such that he must choose a…
  49. 249.If ^nC_r denotes the number of combinations of n things taken r at a time, then the expres…
  50. 250.The sum of integers from 1 to 100 that are divisible by 2 or 5 is: