Permutations and Combinations questions
785 published questions with worked solutions.
- A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five...
- How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
- The range of the function f(x) = ^ 7-x P_ x-3 is
- If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word...
- At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates...
- The set S = 1, 2, 3, , 12 is to be partitioned into three sets A, B, C of equal size. Thus, A B C = S, A B = B C = A C = . The...
- How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
- There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at...
- This question has Statement −1 and Statement −2. Of the four choices given after the statements, choose the one that best...
- Number of different nine digit numbers that can be formed from the digits in the number 223355888 by rearranging its digits so...
- If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Physics...
- A bag contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so...
- In certain examination, a candidate has to pass in each of the 5 subjects. Hence, the number of ways he can fail is
- The number of ways in which the letters of the word MACHINE can be arranged such that the vowels may occupy only odd position, is
- It is required to seat 5 men and 4 women in a row so that the mean occupy odd places. Then the number of arrangements that are...
- A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group...
- The value of ^ 10 C_r ^ 11 C_r , when both the numerator and denominator are at their greatest values, is
- A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee consists of...
- Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let x be number of such words where no letter is...
- The number of different 9 digit numbers that can be formed, from the digits of the number 445577888 by rearranging its digits, so...
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