The number of four digited numbers which are not divisible by 5 that can be formed from by using the digits 0,2,4,5 is

In a class of 10 students, there are 3 girls A,B,C.The number of different ways that they can be arranged in a row such that no two of the three girls are consecutive is

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