The number of ways in which an examiner can assign 30 marks to 8 questions giving not less than 2 marks to any question is

There are 12 boys to be seated on 2 benches, 6 on each bench. Two of them desire to sit on one bench and two others on the other. The number of ways in which the boys can be seated on the two benches is

In how many ways can a collection of 30 books be divided into two groups of 10 and 20 so that the first group always contains a particular book?

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only three digits 2,5 and 7. The smallest value of n for which this is possible is

The sum of divisors of 2⁵3⁴5³ is

The number of ways in which 5 boys and 4 girls can sit in a row so that all the girls come together and 2 particular girls never be together is

1/n!+1/(n+1)!1/(n+2)! =

If ^(m+n)P₂ = 90, ^(m-n)P₂ = 30 then (m,n) =

20 passengers are to travel by a double decked bus which can accommodate 13 in the upper deck and 7 in the lower deck. The number of ways that they can be distributed is

If a,b,c are the number of 4 digited numbers that can be formed using the digits 2,4,5,7,8 that are divisible by 3,4,5 respectively then the ascending order of a,b,c is