{"id":9811,"date":"2022-01-27T23:22:12","date_gmt":"2022-01-27T17:52:12","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9811"},"modified":"2022-01-28T02:03:33","modified_gmt":"2022-01-27T20:33:33","slug":"what-is-the-formula-to-find-number-of-one-one-function","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-formula-to-find-number-of-one-one-function\/","title":{"rendered":"What is the formula to find number of one one function ?"},"content":{"rendered":"
Solution :<\/h2>\n
If A and B are two sets having m and n elements respectively such that m \\(\\le\\) n, then the total number of one-one functions from A to B is<\/p>\n
\\(^nC_m \\times m!\\)<\/p>\n
where m! is m factorial.<\/p><\/blockquote>\n
For example<\/strong>, Let set A have 3 elements and set B have 4 elements, then number of one-one functions are \\(^4C_3 \\times 3!\\) = \\(4 \\times 6\\) = 24<\/p>\n","protected":false},"excerpt":{"rendered":"
Solution : If A and B are two sets having m and n elements respectively such that m \\(\\le\\) n, then the total number of one-one functions from A to B is \\(^nC_m \\times m!\\) where m! is m factorial. For example, Let set A have 3 elements and set B have 4 elements, then …<\/p>\n