List of top Mathematics Questions on Combinatorics asked in AP EAPCET

What is the rank of the word ``MOTHER'' when all possible words are formed using all its letters and arranged in dictionary order?

The number of 5-card combinations out of a deck of 52 cards if there is exactly one ace in each combination is:

If \(^{10}P_r = 604800\) and \(^{10}C_r = 120\), then \(r\) is:

A question paper consists of two sections having 3 and 4 questions respectively. One question from each section is compulsory. In how many ways can a candidate select the questions?

In a plane there are \(37\) straight lines of which \(13\) pass through point \(A\) and \(11\) pass through point \(B\). Moreover, no three lines apart from the lines passing through \(A\) and \(B\) pass through the same point and no two are parallel. What is the number of points of intersection of the straight lines?

Let \(P_1,P_2,\ldots,P_{15}\) be \(15\) points on a circle. The number of distinct triangles formed by points \(P_i,P_j,P_k\) such that \(i+j+k\neq 15\), is

If \[ {}^nC_{r-1}=36,\qquad {}^nC_r=84,\qquad {}^nC_{r+1}=126, \] then the value of \(nr^2\) is

The total number of positive integral solutions \((x,y,z)\) of \[ xyz=24 \] is

The number of numbers between \(2000\) and \(5000\) that can be formed with the digits \(0,1,2,3,4\), repetition of digits not allowed, and are multiples of \(3\), is

The number of ways of distributing \(500\) dissimilar boxes equally among \(50\) persons is

The value of \[ {}^{34}C_5+\sum_{i=0}^{4}{}^{38-i}C_4 \] is

Number of four digit numbers that can be formed using all the digits except zero such that every number has exactly \(2\) distinct digits in it is