How many ways are there to select 12 countries in the united nations to serve on a council if 5 are selected from a block of 45, 4 are selected from a block of 57, and the others are selected from the remaining 69 countries? briefly explain your answer.

There are 436937109262510348800 ways to selected 12 countries.

Step-by-step explanation:

Let the countries selected from the block of 45. For there are 45 options of countries to select. For there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for there are 43 options, for there are 42 options and for there are 41 options.

Let the countries selected from the block of 57 countries. For there are 57 options of countries to select. For there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for there are 55 options and for there are 54 options.

Let the countries selected from the block of 69 remain countries. For there are 69 options of countries to select. For there are 68 options of countries to select because there can be no repeated countries and for there are 67 options.

For find the total of options o ways to select 12 countries we multiply the above options.