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

The number of arrangements of arranging 6 players to throw the cricket ball so that the oldest player may not throw first is

The number of 6 digited numbers which are not divisible by 5 that can be formed with the digits 4,5,6,7,8,9 is

The number of numbers less than 2000 that can be formed using the digits 1,2,3,4 when repetition is allowed is

A: If there are 8 points in a plane no three of which are on the same straight line except 4 points are collinear then the number of straight lines formed by joining them is 23

R: If there are n points in a plane no three of which are on the same straight lie except p points are collinear then the number of straight lines formed by joining them is ⁿC₂ – ^pC₂ +1

If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x-11 things taken all at a time such that a=182bc, then the value of x is

The number of numbers between 1 and 10¹⁰ which contain the digit 1 is

The number of ways in which 7 distinct boys can be distributed among 3 children when each child is eligible to take all the toys is

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

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