The number of ways in which $10$ persons can go in two boats so that there may be $5 $ on each boat, supposing that two particular persons will not go in the same boat is
$\frac{1}{2}{(^{10}}{C_5})$
$2{(^8}{C_4})$
$\frac{1}{2}{(^8}{C_5})$
None of these
Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to
There are $3$ sections in a question paper and each section contains $5$ questions. A candidate has to answer a total of $5$ questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is
How many chords can be drawn through $21$ points on a circle?
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
two are red cards and two are black cards,
Out of $6$ books, in how many ways can a set of one or more books be chosen