Permutations and Combinations questions
785 published questions with worked solutions.
- 20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two...
- The number of ways a team of 2 players can be formed out of a group of 3 lawn tennis players X, Y, Z is
- The number of combinations of 4 different objects A, B, C, D taken 2 at a time is
- The number of chords that can be drawn through 21 points on a circle, is
- The number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls, if each selection consists of 3 balls...
- The number of ways in which 2 black and 3 red balls can be selected from a bag containing 5 black and 6 red balls is
- The number of 5 cards combinations out of a deck of 52 cards, if each selection of 5 cards has exactly one king are
- The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is
- If ^ 16 C_4 + ^ 16 C_5 + ^ 17 C_6 + ^ 18 C_7 = ^ 19 C_r, then value of r is
- The number of words that can be formed from the letters of the word 'INDRAPRASTHA' when the vowels are never separated, is
- Given 4 flags of different colours, the number of different signals that can be generated, if a signal requires the use of 2...
- The number of 3 digit numbers having atleast one of their digit as 5 are
- In how many ways can 5 prizes be distributed among four students when every student can take one or more prizes?
- How many 5-digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears...
- In how many ways 4 boys and 3 girls can be seated in a row, so that they are alternate?
- The value of ^1P_1 + 2 ^2P_2 + 3 ^3P_3 + + n ^nP_n is
- How many different nine-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so...
- The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is
- If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then, what is the rank of the word...
- Total number of ways in which five '+' and three '-' signs can be arranged in a line such that no two '-' signs occur together is
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