Answer:
There are 5040 ways he can play his cards if he is required to play one card at a time.
Step-by-step explanation:
Given :Marcos has been dealt seven different cards.
To Find :How many different ways can he play his cards if he is required to play one card at a time?
Solution:
No. of cards = 7
He is required to play one card at a time
So, For first draw he has 7 choices
For second draw he will have 6 choices and so on
On seventh draw all cards will be drawn .
So, No. of ways he can play his cards if he is required to play one card at a time= ![7! = 7 \times 6 \times 5 \times 4\times 3 \times 2 \times 1 =5040](https://tex.z-dn.net/?f=7%21%20%3D%207%20%5Ctimes%206%20%5Ctimes%205%20%5Ctimes%204%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%201%20%3D5040)
Hence There are 5040 ways he can play his cards if he is required to play one card at a time.