GATE | GATE CS 1997 | Question 57

Let F be the set of one-to-one functions from the set {1,2,…,n} to the set {1,2,…,m}, where m ≥n ≥ 1.

a. How many functions are members of F?
b. How many functions f in F satisfy the property f(i)=1 for some i, 1 ≤ i ≤ n?
c. How many functions f in F satisfy the property f(i) < f(j) for all 1 ≤ i ≤ j ≤ n?

 


Answer:

Explanation:

Quiz of this Question
Please comment below if you find anything wrong in the above post



My Personal Notes arrow_drop_up


Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.