Home
Class 12
MATHS
Statement-1: Number of permutations of '...

Statement-1: Number of permutations of 'n' dissimilar things taken 'n' at a time is n!.
Statement-2: If n(A)=n(B)=n, then the total number of functions from A to B are n!.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
C
`because`Number of permutations of n dissimilar things taken n at a time `=.^(n)P_(n)=n!`
`therefore`Statement-1 is true and statement-2 is false [`because` number of function=`n^(n)`]
Promotional Banner

Similar Questions

Explore conceptually related problems

If A={a,b,c}, B={m,n} find the number of relations from A to B.

If n(A)=15 and n(B)=10 , then number of injective (one-one) mapping from A into B is

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is

The number of permutations of 'n' different objects taken r at a time, when a particular element always occur in each arrangement, is

Show that the total number of permutations of n different things taken not more than r at a time, when each thing may be repated any number of times is (n(n^(r)-1))/((n-1)) .

If n(A)=2 and total number of possible relations from set A to B is 1024, then n(B) is

If A and B are two sets such that n (A) = 5 , n (B) = 7, then the minimum number of elements in A uu B is

Let n(A)=3 and n(B)=6 and A ulsub B. Then number of elements is A nn B is :

A and B are two sets such that n (A) =22 and n(B) = 37 , then maximum number of elements in A nn B is