Twenty-three student compete in a math competition in which the top three studentsare recognized with trophies for first, second, and third place. How many different outcomes arethere for the top three places?

10626 ways

Step-by-step explanation:

Given

Number of students = 23

Prizes = 3

Required

Number of different outcomes for the top 3

This question will be solved using permutation formula because it implies selection of 3 students from 23

Where n = 23 and r = 3

The formula becomes

Hence, there are 10626 ways

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

noncoplanar points are points that do not lie on the same line.