Answer:
50
Step-by-step explanation:
4 black cards = 5C4 = 5
2 red cards = 5C2 = 10
5 x 10 = 50
Number of ways 6-card hands having 4 black cards and 2 red cards are 50.
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
According to the question
Number of black cards = 5 numbered 5 to 9
Number of red cards = 5 numbered 1 to 5
Number of ways to get 4 black cards = [tex]5C_{4}[/tex] = 5
Number of ways to get 2 red cards = [tex]5C_{2}[/tex] = 10
Number of ways 6-card hands having 4 black cards and 2 red cards
= 5 × 10
= 50
Hence, Number of ways 6-card hands having 4 black cards and 2 red cards are 50.
Find out more information about combinations here
https://brainly.com/question/1550504
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