Answer:
Step-by-step explanation:
The number of ways to select countries from each block can be calculated using the combination formula:
$ C(n, k) = \frac{n!}{k!(n-k)!} $
where:
- n is the total number of items,
- k is the number of items to choose,
- "!" denotes factorial.
So, the number of ways to select 1 country from a block of 53 is:
$ C(53, 1) = \frac{53!}{1!(53-1)!} = 53 $
The number of ways to select 1 country from a block of 66 is:
$ C(66, 1) = \frac{66!}{1!(66-1)!} = 66 $
The number of ways to select 7 countries from the remaining 70 is:
$ C(70, 7) = \frac{70!}{7!(70-7)!} $
The total number of ways to select 9 countries is the product of the number of ways to select from each block:
$ 53 \times 66 \times C(70, 7) $
This gives the total number of ways to select 9 countries from the United Nations to serve on a council under the given conditions.
