Respuesta :
Answer:
Total number of ways= 144 ways
Step-by-step explanation:
Number of ways 3 can order chicken
= 3!
= 3*2*1
= 6
Number of ways 4 can order steak
= 4!
= 4*3*2*1
= 24
Number of ways 1 can order lobster
= 1!
= 1
Total number of ways= 24*6*1
Total number of ways= 144 ways
The total number of different ways is 144.
Calculation of the total no of ways:
Since If eight persons are having dinner together.And, there is three order chicken, four order steak, and one order lobster
Now
Number of ways 3 can order chicken
= 3!
[tex]= 3\times 2\times 1[/tex]
= 6
Now
Number of ways 4 can order steak
= 4!
[tex]= 4\times 3\times 2\times 1[/tex]
= 24
Now Number of ways 1 can order lobster
= 1!
= 1
So, total should be
[tex]= 24\times 6\times 1[/tex]
= 144 ways
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