jackthomasdudley
jackthomasdudley jackthomasdudley
  • 21-02-2022
  • Mathematics
contestada

A mathematics test has 15 items. In how many ways can a student answer the exam with 9 correct answers and 6 wrong answers?

a. 15
b. 30
c. 90
d. 5,005

Respuesta :

wolf1728
wolf1728 wolf1728
  • 21-02-2022

Answer:

Surprisingly the answer is 5,005.

Basically this is asking "in how many ways can you choose 9 things from a set of 15 things".

You will need to use the formula found at the top of this page:

https://www.1728.org/combinat.htm

Filling in the formula in which 'r' = 9 and n = '15'

combinations = n! / (r! * (n-r))!

combinations = 15*14*13*12*11*10 * 9! / (9! * 6!)

combinations = 15*14*13*12*11*10 / 6*5*4*3*2*1

combinations = 14 * 13 * 11 * 10 / 4  

= 14 * 13 * 11 * 2.5

= 5,005

answer is "d"

Step-by-step explanation:

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