Geometry

Question Analysis
This question involves applying the combination formula for non - repetitive selection in a card - game context.
The main focus is on correctly identifying (total number of cards) and (number of cards to pick) and using the formula to calculate the number of combinations.

Key Concept Explanation
The combination formula is applicable when the order in which the cards are picked for the hand does not affect the hand's composition.
Factorials help in calculating the number of possible arrangements and then eliminating the overcounting caused by considering order.

Step - by - Step Solution
First, calculate the factorials:

Click "Show Answer" to reveal the answer and analysis