Answer:
There are 194,580 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.
Step-by-step explanation:
There are 4 kings in a deck of 52 cards. Therefore, the number of ways to choose exactly one king out of 4 is 4C1 = 4.
After choosing one king, we need to choose 4 cards out of the remaining 48 cards that are not kings. There are 48C4 ways to do this.
Therefore, the total number of ways to choose a 5-card combination with exactly one king is:
4 * 48C4 = 194,580
So, there are 194,580 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.
