Answer:
a. 108336, b. 480200
Step-by-step explanation:
a. No. of ace cards = 4
No. of non ace cards= 48
We draw 5 cards
So,
No. of ways of 2 aces = C(4,2) C(48,3)
No. of ways of 3 aces = C(4,3) C(48,2)
No. of ways of 4 aces = C(4,4) C(48,1)
Hence
No. of ways of 2 or more aces
= C(4,2) + C(48,3) + C(48,3) + C(4,3)C(48,2) +C(4,4)C(48,1)
= 6(17296) + 4(1128) + (48)
= 108336
b. No of ways any 5 cards can be chosen = C(52,5)
No. of ways kings of diamonds or queen of hearts is chosen = C(50,5)
Hence
No. of ways of choosing king of diamonds, queen of hearts or both = C(52,5) – C(50,5)
= 480200
