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What are the terms in the expression 7x+4y+1
2 answers:
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Since there are 3 terms in the expression:
First term is 7x.
A term x with coefficient 7.
Second term is 4y.
A term y with coefficient 4.
Third term is 1 i.e constant term.
So, the respective three terms would be 7x, 4y, and 1.
Hence, Option 'd' is correct.
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Answer:
13,800
Step-by-step explanation:
This is a permutation, not a combination, because order matters.
Here's why:
Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.
Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.
Since we're choosing three people to give awards to, there are:
permutations. Because order matters (refer to explanation above), this is our final answer.