Permutations and Combinations questions
785 published questions with worked solutions.
- Kanchan has 10 friends among whom two are married to each other. She wishes to invite 5 of them for a party. If the married...
- There are n seats round a table numbered 1,2,3, ,n. The number of ways in which m ,( n) persons can take seats is
- The total number of ways in which a beggar can be given at least one rupee from four 25-paisa coins, three 50-paisa coins and 2...
- For the equation x+y+z+w=19, the number of positive integral solutions is equal to
- 4 five-rupee coins, 3 two-rupee coins and 2 one-rupee coins are stacked together in a column at random. The probability that the...
- 7 white balls and 3 black balls are placed in a row at random. The probability that no two black balls are adjacent is
- 4 gentlemen and 4 ladies take seats at random round a table. The probability that they are sitting alternately is
- 10 different books and 2 different pens are given to 3 boys so that each gets equal number of things. The probability that the...
- Let C_1,C_2, ,C_n, be a sequence of concentric circles. The nth circle has the radius n and it has n openings. A point P starts...
- A word of at least 5 letters is made at random from 3 vowels and 3 consonants, all the letters being different. The probability...
- A flag is to be coloured in four stripes by using 6 different colours, no two consecutive stripes being of the same colour. This...
- The number of ways of selecting two numbers from the first 15 natural numbers such that their sum is a multiple of 5, is
- The number of ways in which the five digits 1, 2, 3, 4, 5 can be arranged to make a number greater than 10000 such that the odd...
- The number of ways in which 9 flowers, of which 5 are identical and white, and the other four are of different colours, can be...
- There are n + 1 identical balls on which the numbers ^ n C_ 0 , ^ n C_ 1 , ^ n C_ 2 , , ^ n C_ n are written, each ball carrying...
- The number of divisors of the form 2n - 1 (n 2) of the number 2^p ,3^q ,4^r ,5^s, where p, q, r, s belong to N, is
- If the difference of the number of arrangements of 3 things from a certain number of dissimilar things and the number of...
- A word has 4 identical letters and some different letters. If the total number of words that can be made with the letters of the...
- Consider all possible permutations of letters of the word ENDEANOEL. Column I: (A) The number of permutations containing the word...
- The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition is
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