A chef randomly chooses 5 apples from a case of 24 apples. In how many ways can the chef make the selection?

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

The correct answer is B :)

Step-by-step explanation:

The number of k-combinations(5) from a given set S of n (24) elements

Calculating the number of combinations

Substituting our values for n= 24 and k= 5 we get

24C5 = 24!5!(24−5)!

Subtracting 5 from 24 is 19

24!5!(19)!

Expending factorial

24X23X22X21X20X19!(5X4X3X2X1)X19!

Cancelling common factors

24X23X22X21X205X4X3X2X1

Multiply numerator values and denominator values

5100480120

Divide the 5100480 by 120

Final Result :42504.0

There are 42504.0 combinations to choose 5 items out of a set of 24

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