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there are 1,320 ways for three students to win first, second, and third place during a debate match. how many students are there on the debate team? explain your reasoning

there are 1320 ways for three students to win first second and third place during a debate match how many students are there on the debate team explain your rea class=

Respuesta :

i would say they are 44O students on the debate team .   whyy ?  because you divide the  total of ways which is   ( 132O ) and the total of places you could win which is ( 3 ) . 
132O / 3 = 44O

welcome m8 

The number of students is there on the debate team will be given by the permutation formula is 12.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

There are 1,320 ways for three students to win first, second, and third place during a debate match.

Then the number of the students are there on the debate team will be given as

Let n be the number of the student, then we have

[tex]\begin{aligned} ^nP_3 &= 1320\\\\\dfrac{n!}{(n-3)!} &= (12)(11)(10)\\\\n (n-1)(n-2) &= (12)(12-1)(12-2)\\\\n &= 12 \end{aligned}[/tex]

Then the number of the student will be 12

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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