10 have volunteered to help with the preparations for a party. How many ways can Susan assign someone to buy beverages, someone
1 answer:
Answer:
The answer is 720 ways.
Step-by-step explanation:
Total friends who volunteered = 10
Total number of jobs that have to be done = 3
Here order matters, so it is a permutation question.
We can use the formula nPr.
=
= 720 ways.
The second way to solve this is:
Susan can choose the first person to do a job in 10 ways
Then the second job can be done in 9 ways and the third in 8 ways.
Total becomes = ways
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<u>Given</u>:
The given expression is
We need to determine the equivalent expression.
<u>Option A:</u> -1
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is not equivalent to -1.
Hence, Option A is not the correct answer.
<u>Option B</u>: 29
Solving the expression, we get;
Simplifying, we get;
Thus, the expression is equivalent to 29.
Hence, Option B is the correct answer.
<u>Option C</u>:
Let us rewrite the given expression.
Thus, the expression is equivalent to
Thus, Option C is the correct answer.
<u>Option D</u>:
Rewriting the expression, we get;
Hence, the expression is equivalent not to
Thus, Option D is not the correct answer.
<u>Option E:</u>
Multiplying the terms within the bracket, we get;
Hence, the expression is equivalent to
Thus, Option E is the correct answer.