id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4901	Latayada , Mary Joy R.	On the Number of Restricted One-to-One and Onto Functons Having Integral Coordinates	2023	12	.pdf	application/pdf	3969	218	84	i, i ≤ n. To count the number of restricted onto functions f |Si , let us consider the following sequence of events: E1 : event of choosing a subset S1 of Nm such that |Si| = i. E2 : event of forming a restricted onto function f |Si : Nm −→ Nn. By Multiplication Principle, the number of such restricted one-to-one functions f |Si = f |Si−1∪{m+1} overall Si ⊆ Nm+1 is equal to |E1||E2| = Ŷ (i− 1,m)(m+ 2− i).	cache/ejpam-4901.pdf	txt/ejpam-4901.txt