Provide an appropriate response.Suppose that a class of 30 students is assigned to write an essay.1) Suppose 4 essays are randomly chosen to appear on the class bulletin board. How many different groups of 4 are possible?2) Suppose 4 essays are randomly chosen for awards of $10, $7, $5, and $3. How many different groups of 4 are possible?Explain the significant differences between problems 1 and 2.
What will be an ideal response?
Problem 1 is a combination, not dependent on order, while problem 2 is a permutation and is dependent on order.
Mathematics
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Evaluate the integral.
A. 
B. 1
C. Diverges
D. 
Mathematics
Write a word name for the number in the sentence.The average population of the suburbs around a certain large city is 35,706.
A. thirty-five hundred thousand, seven hundred six B. thirty-five thousand, seven hundred six C. three thousand five, seven hundred six D. thirty-five thousand, seventy-six
Mathematics
Find the exact value of the expression. Do not use a calculator.sin 
- cos 
A. 
B. 
C. 1
D. 0
Mathematics
Express the sum using summation notation.
+ 
+ 
+ ... + 
A. 
B. 
C. 
D. 
Mathematics