A  room  has  6  doors. The no. of  ways,  in  which a  man can enter  the room through  one door  and come  out  through  a different  door,  is

How many  no. of five  digits   can be  formed from the  digits  2, 0, 4,3, 8  if   repetition of the  numbers  is not allowed.

The number of positive integer solution (x,y,z) of the equation x y z = 24 is

A  room  has  6  doors. The no. of  ways,  in  which a  man can enter  the room through  one door  and come  out  through  a different  door,  is

The  no of  words  that can be  formed   out of the letters   of the  word ARTICLE, so that  the vowels  occupy  even  places,  is

If (n+1)! = 56 (n-1)!,then n=

How many  three -letter  words can  be   formed   from the  alphabets a, b, c, d  and  e,  if  repetition  is not allowed?

How many  no. of   6  digits  can be formed  from the  digits  of the number  112233?

Seven  athletes  are  participating  in  a race.  In how  many ways the first three  prizes  can  be won?

In how  many  ways  7  men and  7 women  can sit  on a round  table  such  that no  two  women  sit together?