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.
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:
[tex]=2 ^{28}C_2+^{28}C_4[/tex]
[tex]=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}[/tex]
[tex]=756+28853[/tex]
[tex]=21231[/tex]
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.
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