There are four balls of different colours and four boxes of colours same as those of the balls. The number of ways in which the balls, one each in a box could be placed such that a ball does not go to a box of its own colour is

The number of 5 digit numbers of different digits can be formed with 2 even and 3 odd digits is

The number of ways a pack of 52 cards can be divided amongst four players in 4 sets, three of them having 17 cards each and the fourth one just 1 card is

The probability that in a family of 4 children there will be at least one boy is

The number of ways that all the letters of the word SWORD can be arranged such that no letter is in its original position is

A set contains (2n+1) elements. The number of subsets of the set which contain more than n elements is

The number of arrangements of arranging 6 players to throw the cricket ball so that the oldest player may not throw first is

The number of 6 digited numbers which are not divisible by 5 that can be formed with the digits 4,5,6,7,8,9 is

The number of numbers less than 2000 that can be formed using the digits 1,2,3,4 when repetition is allowed is

A: If there are 8 points in a plane no three of which are on the same straight line except 4 points are collinear then the number of straight lines formed by joining them is 23

R: If there are n points in a plane no three of which are on the same straight lie except p points are collinear then the number of straight lines formed by joining them is ⁿC₂ – ^pC₂ +1