List of top Mathematics Questions on permutations and combinations asked in VITEEE

Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is

The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are:

Ten different letters of an alphabet are given, words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is

If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is

Number of ways of selecting three squares on a chessboard so that all the three be on a diagonal line of the board or parallel to it is

The sides \( AB \), \( BC \), and \( CA \) of a triangle \( \triangle ABC \) have respectively 3, 4, and 5 points lying on them. The number of triangles that can be constructed using these points as vertices is

There are $5$ letters and $5$ different envelopes. The number of ways in which all the letters can be put in wrong envelope, is

In how many ways 6 letters can be posted in 5 different letter boxes?

The number of ways of painting the faces of a cube of six different colours is:

In how many number of ways can 10 students be divided into three teams, one containing four students and the other three?

Find the number of ways in which five large books, four medium-size books, and three small books can be placed on a shelf so that all books of the same size are together.