Four boys and three girls stand in a queue for an interview, probability that they will in alternate position is
$\frac{1}{{34}}$
$\frac{1}{{35}}$
$\frac{1}{{17}}$
$\frac{1}{{68}}$
$3$ numbers are chosen from first $15$ natural numbers, then probability that the numbers are in arithmetic progression
Three vertices are chosen randomly from the seven vertices of a regular $7$ -sided polygon. The probability that they form the vertices of an isosceles triangle is
A committee of five is to be chosen from a group of $9$ people. The probability that a certain married couple will either serve together or not at all, is
From a class of $12$ girls and $18$ boys, two students are chosen randomly. What is the probability that both of them are girls
Let $X$ be a set containing $10$ elements and $P(X)$ be its power set. If $A$ and $B$ are picked up at random from $P(X),$ with replacement, then the probability that $A$ and $B$ have equal number elements, is