Answer:
The total number of ways to select 5 cards from a deck of 52 cards of which 3 are aces are 4512
Step-by-step explanation:
The formula to find no of ways to select is [tex]_{n}C_{r}= \frac{n!}{r!(n-r)!}[/tex]
There are in all 52 cards in a deck of which 4 are aces. So 48 cards are non ace cards.
Here
We have to select 5 cards of which 3 must be aces.
there are in all 4 aces.
To select three aces from four aces we get [tex]_4C_3=4[/tex]
Now we have selected three aces.
We are left to select 2 cards from the rest of the 48 cards
We get
[tex]_4_8C_2=1128[/tex]
hence the total number of ways to select 5 cards from a deck of 52 cards of which 3 are aces are = 1128 (4) = 4512
