There are $9$ chairs in a room on which $6$ persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit
$6720$
$60480$
$30$
$346$
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 each child will go to the garden is
In how many ways can the letters of the word $\mathrm{ASSASSINATION} $ be arranged so that all the $\mathrm{S}$ 's are together?
In how many ways can a committee be formed of $5$ members from $6$ men and $4$ women if the committee has at least one woman
$^n{C_r} + {2^n}{C_{r - 1}}{ + ^n}{C_{r - 2}} = $
The numbers of permutations of $n$ things taken $r$ at a time, when $p$ things are always included, is