There are three copies each of four different books. The number of ways in which they can be arranged in a shelf is. a. `(12 !)/((3!)^4)` b. `(12 !)/((4!)^3)` c. `(21 !)/((3!)^4 4!)` d. `(12 !)/((4!)^3 3!)`

There are three copies each of 4 different books.In how many ways can they be arranged in a shelf?

The number of ways in which 12 books can be put in three shelves with four on each shelf is a.(12!)/((4!)^(3)) b.(12!)/((3!)(4!)^(3)) c.(12!)/((3!)^(3)4!) d.none of these

There are 100 different books in a shelf. Number of ways in which 3 books can be selected which are not neighbours is

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)

In how many ways can 4 different books, one each in chemistry, physics, biology and mathematics, be arranged on a shelf?

The set S""=""{1,""2,""3,"" ,""12) is to be partitioned into three sets A, B, C of equal size. Thus, AuuBuuC""=""S ,""AnnB""=""BnnC""=""AnnC""=varphi . The number of ways to partition S is (1) (12 !)/(3!(4!)^3) (2) (12 !)/(3!(3!)^4) (3) (12 !)/((4!)^3) (4) (12 !)/((4!)^4)

Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are