High School

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Suzy randomly picks marbles from a bag containing 14 identical marbles. How many possible outcomes are there if she selects 6 marbles?

A. 2,983
B. 2,162,160
C. 3,043
D. 2,973
E. 3,003
F. None of the above

Answer :

The answer explains how to calculate the number of possible outcomes when selecting 6 marbles from a bag of 14 identical marbles with the correct answer being 3,003. Therefore option b) 2,162,160

The number of possible outcomes when Suzy selects 6 marbles from a bag containing 14 identical marbles can be calculated using combinations.

Using the combination formula where n is the total number of marbles and r is the number of marbles selected:

  1. Calculate 14 choose 6:
  2. 14! / [6!(14-6)!] = 3003

Therefore, there are 3,003 possible outcomes if Suzy selects 6 marbles from the bag.

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