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

A double decked bus can accommodate 100 passengers, 40 in the upper deck and 60 in the lower deck. In how many ways can a group of 100 passengers be accommodated if 15 refuse to sit in the lower deck and 20 refuse to sit in the upper deck?

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