Question

The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?
Group of answer choices

560

3360

4096

2.0923 * 10^{13}

Answer 1

Answer:

560

Step-by-step explanation:

The number of ways to choose r objects from n total objects is given by the combination formula:

$C(n,r)=\frac{n!}{r!(n-r)!}$

Where n is the total and r is how many we are choosing

Also note: n! = n * (n-1) * (n-2) * ...

So n = 16 and r = 3, so we have:

$C(n,r)=\frac{n!}{r!(n-r)!}\\C(n,r)=\frac{16!}{3!(16-3)!}\\=\frac{16!}{3!13!}\\=560$

hence, there would be 560 different groups of 3

Answer 2

*100% Correct answers

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Question 2

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Question 3

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