A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four hearts and one spade?

The answer is 9295

Step-by-step explanation:

Solution

A poker hands contains of =5 cards

Ordinary deck of =52 cards

Now we need to find the number of hands are there consisting of four hearts and one spade

Thus

The number of ways to get 4 hearts = ¹³C₄

=715

The number of ways to get to 1 spade = ¹³C₁

=13

Then

The total number of ways is given as:

715 * 13 =9295

Therefore, the different hands that are available or present consisting of four hearts and one spade is 9295

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068