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

An electrical device  can  be minor defective  in 10  ways and   major   defective  in 8 ways.   In how many  ways  2  major  and 2 minor  defects  can occur?

In  how many  ways  can 4  boys  and 3  girls  be seated in a row   of  7  chairs,  if the boys  and girls  have to sit alternate?

The  no. of  5  digit  numbers that can  be formed  with the   digits 0,1,2,3,4  if the  numbers can be  repeated  in the same  number is

In how many ways  can  a cricket  team of  eleven  members  be chosen  out of  a batch  of 15 player,  if there is no  restriction on the  selection?

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 6  persons   can stand  in a queue  at a time?

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

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