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.

From  a   class of  6  students,  4  are  to be  chosen  for  a  competition.  In how  many ways  can  this  be  done?

The no. of  ways  in which 6  men  and 5 women  can  dine on a round  table'  if not  two  women  are to sit  together, is

In  how many  ways   (with  or without meaning)  a word  of three  alphabets of English  language  can be arranged if  repetition is not allowed?

In  how many  ways can  21 English  and  Hindi  books  be  placed  in a row,  so  that not two Hindi  books  are  together?

In an   examination,  a  candidate is  required to pass in four  different  subjects.   The no.  of   ways  in which   he can  fail is

Let Tn  denote  the no. of triangles which  can be formed using the  vertices  of a  regular  polygon of  n  sides.  If  T_(n+1) -T_n =  21 ,  then the   value  of n is

If ¹²P_r=¹¹P₆+6. ¹¹P₅,  then  the value of  r  is

A  father  with 8  children  take 3  at  a time  to a  zoological  garden.  If the  father   without  taking the same  3 children   more than  once,  then the   no. of times he will go to  the garden  is