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Determine the number of 5-card combin...

Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.

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1 king and 4 non kings or 2 kings and 3 non kings or 3 kings and 2 non kings or 4 kings and 1 non king.
Number of selections
=`""^4 C_1` × `""^48 C_4` +`""^4 C_2`× `""^48 C_3` +`""^4 C_3` × `""^48 C_2` +`""^4 C_4` × `""^48 C_1`
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