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Permutations and Combinations

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  1. 251.Numbers greater than 1000 but less than 4000 are formed using the digits 0,1,2,3,4 (repeti…
  2. 252.Total number of four digit odd numbers that can be formed using 0,1,2,3,5,7 (repetition al…
  3. 253.Five digit numbers divisible by 3 are formed using 0,1,2,3,4,5 and 7 without repetition.
  4. 254.Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4 and 5 without repetition.
  5. 255.If ^nC_r denotes the number of combination of n things taken r at a time, then the express…
  6. 256.Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes s…
  7. 257.If all the words, with or without meaning, are written using the letters of the word QUEEN…
  8. 258.The number of ways in which 5 boys and 3 girls can be seated on a round table if a particu…
  9. 259.Consider three boxes, each containing, 10 balls labelled 1, 2, , 10.
  10. 260.Consider a class of 5 girls and 7 boys.
  11. 261.Let n > 2 be an integer.
  12. 262.The value of (2.1P0 -- 3.2P1 + 4.3P2 ....
  13. 263.The number of ordered pairs (r, k) for which 6.35Cr = (k2 - 3).
  14. 264.If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :
  15. 265.If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k,…
  16. 266.Let P1, P2, ......, P15 be 15 points on a circle.
  17. 267.If ^nP_r = ^nP_r + 1 and ^nC_r = ^nC_r - 1, then the value of r is equal to :
  18. 268.A natural number has prime factorization given by n = 2x3y5z, where y and z are such that …
  19. 269.The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C…
  20. 270.The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7,…
  21. 271.The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3…
  22. 272.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…
  23. 273.Let the set [S=2,4,8,16, , 512] be partitioned into 3 sets A, B, C with equal number of el…
  24. 274.Let [0 r n].
  25. 275.Let [[t]] be the greatest integer less than or equal to t.
  26. 276.Let ^n C_r-1=28, ^n C_r=56 and ^n C_r+1=70.
  27. 277.Line L_1 of slope 2 and line L_2 of slope (1)/(2) intersect at the origin O .
  28. 278.From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which sho…