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

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