Question

how many ways are there to select 9 countries in the united nations to serve on a council if 1 is selected from a block of 60, 1 are selected from a block of 67 and 7 are selected from the remaining 62 countries?

Answer 1

There are 16,008,000 ways to select 9 countries for the United Nations council.

Step-by-step explanation:

To determine the number of ways to select countries for the United Nations council, we need to consider the selection from each block and combine the selections.

From the first block of 60 countries, we select 1 country. This can be done in 60 ways.

From the second block of 67 countries, we select 1 country. This can be done in 67 ways.

From the remaining 62 countries, we select 7 countries. The number of ways to do this is given by the combination formula C(62, 7) = 4,200 ways.

To find the total number of ways to select the countries for the council, we multiply the number of ways for each selection: 60 * 67 * 4,200 = 16,008,000 ways.