Question

Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected

Answer 1

There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.  

The number of the possible ways will be calculated by:

$=2 ^{28}C_2+^{28}C_4$

$=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}$

$=756+28853$

$=21231$

Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

To know more about Combination follow

brainly.com/question/11732255

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