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torisob [31]
3 years ago
5

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}
Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0

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

frez [133]3 years ago
7 0

<em>*</em><em>100% Correct answers</em>

Question 1

A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?

1680

Question 2

At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?

60

Question 3

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?

560

Question 4

How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?

66

Question 5

The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.  

13800

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