Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. If Matthew used 28 blueberries, how many red
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To compute how many groups of elements we can extract out of a group of
elements, we can use the binomial coefficient:
where the factorial is defined as
So, this is the number of possible quintuplet out of 50 numbers:
Similarly, this is the number of possible groups of six numbers out of 60:
So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of
Whichi means that winning in state B is 23 times harder