1171. Let X be a non-empty set. On X, the permutation is a :

A. Bijective mapping *
B. Injective mapping
C. Surjective mapping
D. Inverses mapping

1172. Let X has n elements .Then number of bijective mapping on X is :

A. n2
B. (n)n
C. n!
D. n * n

1173. Let X n elements .The number of mapping on X is :

A. n2
B. (n)n *
C. n !
D. n * n

1174. Let X n elements .In terms of mappings, the set Sn of all permutations on X is a group:

B. Multiplication
C. Compositions *
D. Inverse

1175. Let X = { 1 ,2 , 3} Then S3 has _______elements :

A. 3
B. 4
C. 6 *
D. 9

1176. Which of the following is Abelian :

A. S2 *
B. S3
C. S4
D. S5

1177. Product of two cyclic permutations is :

A. Even permutation
B. Odd permutation
C. Cyclic permutation
D. Not a cyclic permutation *

1178. A transposition is a cycle of length :

A. 1
B. 2 *
C. 3
D. 4

1179. A permutation of degree n can be expressed as a product of :

A. Cycles
B. Transposition
C. Permutations
D. All of these *

1180. In S4 group of permutation , number of even permutation is :

A. 4
B. 12 *
C. 16
D. 24