- i need to know how to work this problem out
2 answers:
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Answer: The required number of ways is 46200.
Step-by-step explanation: Given that a catering service offers 8 appetizers, 11 main courses, and 7 desserts.
A banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts.
We are to find the number of ways in which this can be done.
We know that
From n different things, we can choose r things at a time in ways.
So,
the number of ways in which 7 appetizers can be chosen from 8 appetizers is
the number of ways in which 8 main courses can be chosen from 11 main courses is
and the number of ways in which 4 desserts can be chosen from 7 desserts is
Therefore, the number of ways in which the banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts is given by
Thus, the required number of ways is 46200.
Answer:
The sequence is a function as for any value of n we can not get more than one different value.
Step-by-step explanation:
Tilly starts by running 1 mile in the first week and tripling the number of miles each week.
Now, the number of miles Tilly will run can be modeled by the sequence , where n is the number of weeks since she began her program.
Therefore, in the second week she runs 3 miles, in the third week she runs 9 miles and so on.
Therefore, the sequence is a function as for any value of n we can not get more than one different value. (Answer)