Question

how many ways are there to select 12 countries in the united nations to serve on a council if 2 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

Answer 1

By combination, there are 2346953264 ways to do so.

What is the example of combination?

• Without regard to the sequence in which the things are chosen, a combination is the selection of all or a portion of a collection of objects.
• Consider a group of three letters, such as A, B, and C. 

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

=  ⁴⁵C₃ × ⁵⁷C₄ × ⁵⁷C₅

=  14190 × 395010 × 4187106

= 2346953264

Learn more about permutation and combination

brainly.com/question/28720645

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