A boats crew consists of 16 men, 6 of whom can only row on one side and 4 only on the other. The number of ways in which the crew can be arranged 8 on each side is

In how many ways 4 sovereigns be given away, when there are 5 applicants and any applicant may have either 0,1,2,3or4 sovereigns?

If ¹²P_r = ¹¹P₆ + 6 ¹¹P₅, then r =

The number of numbers greater than 1000 but not greater than 4000 that can be formed with the digits 0,1,2,3,4 repetition of digits being allowed is

If ²⁰P_r : ²⁰P_r-1 = 15 : 1 then r =

Two dice are rolled simultaneously. The probability of getting an even number and an odd number is

In an experiment of rolling 2 dice, the probability that, the dots on the second die is less than that on the first die is

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