The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 but using each digit not more than once in each number is…….. The number of these integers that are greater than 3000 is

1 /3 – 1! + 1 / 4.2! + 1 / 5.3! +………. =

The number of ways that 12 prizes can be divided among 4 students so that each may have 3 prizes is

In how many ways can 52 cards be divided among 4 players so that each may have 13 is

The number of 4 digited numbers that can be formed using the digits 0,1,2,3,4,5 that are divisible by 5 when repetition is allowed is

Out of 7 consonants and 5 vowels how many different words can be formed each consisting of 3 consonants and 2 vowels?

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is

The number of positive divisors of 2⁵3⁶7³ is

A boat is to be manned by 9 crew with 4 on the stroke side, 4 on the row side and one to steer. There are 11 crew of which 2 can stroke only, 1 can row only while 3 can steer only. In how many ways the crew can be arranged for the boat?

A fruit basket contains 4 oranges, 5 apples, 6 mangoes. The number of ways a person make selection of fruits from among the fruits in the basket is