2 FEBRUARY 1ST SYSTEM APPLICATION POP QUIZ
2 answers:
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Answer: There are 5 candies of first type and 4 candies of second type.
Step-by-step explanation:
Since we have given that
Number of pieces of candy of first type = 15
Number of pieces of candy of second type = 20
We need to find the greatest number of pieces possible.
So, Greatest number of pieces = H.C.F. of 15 and 20 = 5
So, there are 5 greatest number of pieces possible.
Number of candies of first type in this piece =
Number of candies of second type in this piece =
Hence, there are 5 candies of first type and 4 candies of second type.
In this situation, the order matters, since being 1st pick is not the same as being 2nd or 3rd. Therefore, there are 14 choices for the first pick, 13 remaining for the second pick, and 12 for the third pick. This is equivalent to the permutation 12P3.
ways
(If order did not matter, this would use a combination.)
(If order did not matter, this would use a combination.)