" (i) "12-:(3)/(4)

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 cost of 7(2)/(3) metres of rope is rs 12(3)/(4). Find the cost of cloth per metre.

Find the value of n if ""^(n) P_(13) : ""^(n+1) P_(12) =(3)/(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)

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)

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 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

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