The total number of ways of selecting six coins out of $20$ one rupee coins, $10$ fifty paise coins and $7$ twenty five paise coins is
$28$
$56$
$^{37}{C_6}$
None of these
$^{14}{C_4} + \sum\limits_{j = 1}^4 {^{18 - j}{C_3}} $ is equal to
A student is to answer $10$ out of $13$ questions in an examination such that he must choose at least $4$ from the first five questions. The number of choices available to him is
If $^{n} C_{8}=\,^{n} C_{2},$ find $^{n} C_{2}.$
In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls
A father with $8$ children takes them $3$ at a time to the Zoological gardens, as often as he can without taking the same $3$ children together more than once. The number of times he will go to the garden is