Respuesta :

 5,040 ways 

He has 7 choices to pick his first card, 6 choices for his second, and so on. Multiply the number of choices to get the answer.

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= [tex]7! = 7 \times 6 \times 5 \times 4\times 3 \times 2 \times 1 =5040[/tex]

Hence There are 5040 ways he can play his cards if he is required to play one card at a time.