List of top Mathematics Questions on Combinatorics asked in TS EAMCET

A student has to answer a multiple-choice question having 5 alternatives in which two or more than two alternatives are correct. Then the number of ways in which the student can answer that question is

All possible words (with or without meaning) that contain the word 'GENTLE' are formed using all the letters of the word 'INTELLIGENCE'. Then the number of words in which the word 'GENTLE' appears among the first nine positions only is

5 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and no two girls are together is

\( ^{20}P_3 - ^{19}P_3 = \)

If all the letters of the word 'HANDLE' are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word 'HELAND' is

Number of triangles whose vertices are the points \( (x, y) \) in the XY-plane with integer coordinates satisfying \( 0 \le x \le 4 \) and \( 0 \le y \le 4 \) is