List of top Mathematics Questions on permutations and combinations asked in KCET

The number of bijective functions from set $A$ to itself when $A$ contains $97$ elements, is:
10 distinct points are taken on a circle. Then using these points
Statement I : The number of triangles that can be formed is 100
Statement II : The number of chords that can be formed is 45
Which of the following is correct?
How many ways can you arrange all the letters and numbers in "KCET 2025" which start with K and end with 5?
The number of four digit even numbers that can be formed using the digits 0, 1, 2 and 3 without repetition is:
Ten chairs are numbered as 1 to 10. Three women and two men wish to occupy one chair each. First the women choose the chairs marked 1 to 6, then the men choose the chairs from the remaining. The number of possible ways is
If all permutations of the letters of the word MASK are arranged in the order as in dictionary with or without meaning, which one of the following is 19th word ?
A student has to answer 10 questions, choosing at least 4 from each of the parts A and B. If there are 6 questions in part A and 7 in part B, then the number of ways can the student choose 10 questions is
The number of 4 digit numbers without repetition that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 in which each number has two odd digits and two even digits is
If $\, {{^n C}_{12}}$ =$\, {{^n C}_8}$ then $n$ is equal to
How many $5$ digit telephone numbers can be constructed using the digits $0$ to $9$, if each number starts with $67$ and no digit appears more than once ?
A simple graph contains $24$ edges. Degree of each vertex is $3$. The number of vertices is .................