Respuesta :
Answer:
135751 unique four card combinations can be created
Explanations:Total number of cards in a deck = 52
Number of queens in a deck = 4
Number of jacks in a deck = 4
If all the queens and jacks are removed, number of remaining cards = 52 - 8
Number of remaining cards = 44
Number of unique four card combinations that can be created = 44C4
[tex]nC_r=\text{ }\frac{n!}{(n-r)!r!}[/tex]Therefore:
[tex]\begin{gathered} 44C_4=\text{ }\frac{44!}{(44-4)!4!} \\ 44C_4=\text{ }\frac{44!}{40!4!} \\ 44C_4=\text{ }\frac{44\times43\times42\times41\times40!}{40!\times4\times3\times2\times1} \\ 44C_4=\text{ }\frac{3258024}{24} \\ 44C_4=\text{ }135751 \end{gathered}[/tex]135751 unique four card combinations can be created
