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 3 copies each of 4 different books. Find the number of ways of arranging them on a shelf.

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

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 !)^)

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 !)^)

Number of ways in which 12 different things can be distributed in 3 groups, is

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive is 4!xx3! b. 4! c. 3!xx3! d. none of these

The number of ways in which 12 different objects can be divided into three groups each containing 4 objects is (i) ((12!))/((4!)^(3)(!3)) (ii) ((12!))/((4!)^(3)) (iii) ((12!))/((4!)) (iv) none

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)

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)