Permutations and Combinations questions
785 published questions with worked solutions.
- Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter...
- Let S= 1,2,3, ,9 . For k=1,2, ,5, let N_k be the number of subsets of S, each containing five elements out of which exactly k are...
- The number of 5 digit numbers which are divisible by 4, with digits from the set 1,2,3,4,5 and the repetition of digits is...
- A fair six-faced die is rolled 12 times. The probability that each face turns up twice is equal to
- Suppose you have a suitcase with a number lock. The number lock has 4 wheels each labelled with 10 digits from 0 to 9. The lock...
- Mohan has 3 pants and 2 shirts. The number of different pairs of a pant and shirt he can wear are
- Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. In how many ways can she carry these items (choosing one each)?
- The number of 2 digits even numbers that can be formed from the digit 1, 2, 3, 4, 5, if the digits can be repeated are
- Find the number of different signals that can be generated by arranging atleast 2 flags in order (one below the other) on a...
- The number of ways in which 3 prizes can be distributed to 4 childrens, so that no child gets all the three prizes, are
- The number of 4-digit numbers that can be formed with the digits 1, 2, 3, 4 and 5 in which atleast 2 digits are identical, is
- How many 3-digits even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
- Given 5 flags of different colours, how many different signals can be generated, if each signal requires the use of 2 flags, one...
- From a committee of 8 persons, in how many ways can we choose a chairman and a vice-chairman assuming one person cannot hold more...
- If ^5P_r = 2 , ^6P_ r-1 , then the value of r is
- In how many ways can the letters of the word PERMUTATIONS be arranged, if the words start with P and end with S?
- The total number of 9-digit numbers which have all different digits is
- Find the number of different words that can be formed from the letters of the word TRIANGLE, so that no vowels are together.
- The number of positive integers which can be formed by using any number of digits from 0, 1, 2, 3, 4, 5 but using each digit not...
- The number of ways the letters of the word ASSASSINATION be arranged, so that all the S's are together are
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