If $^n{P_r}$=$ 720$.$^n{C_r},$ then $r$ is equal to
$6$
$5$
$4$
$7$
(a) $^n{P_r}\, = 720.{\,^n}{C_r}$
==> $^n{P_r}\, \div {\,^n}{C_r}\, = 720$
==> $\,r\,! = 720 = 6\,!$
$==> r = 6.$
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
Everybody in a room shakes hand with everybody else. The total number of hand shakes is $66$. The total number of persons in the room is
If $^n{C_{r – 1}} = 36,{\;^n}{C_r} = 84$ and $^n{C_{r + 1}} = 126$, then the value of $r$ is
In a club election the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote be $62,$ then the number of candidates is :-
Confusing about what to choose? Our team will schedule a demo shortly.