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

The total number of terms in the expansion of \((x + a)^{100} + (x - a)^{100}\) after simplification will be:
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?
The number of 4 digit even numbers whose sum of digits is 34
The number of ordered triplets of positive integers satisfying \(20\le x+y+z\le50\) is
For the following question, enter the correct numerical value upto TWO decimal places. If the numerical value has more than two decimal places, round-off the value to TWO decimal places. (For example: Numeric value 5 will be written as 5.00 and 2.346 will be written as 2.35) There are 10 points in a plane out of which 6 are collinear. The number of straight lines formed by joining all these points is ____.
If $R$ is an equivalence relation on a set $A$, then $R \circ R$ is
Evaluate the limit: \[ \lim_{x \to \infty} \left(\frac{x^2 + 5x + 3}{x^2 + x + 2}\right)^x \]