At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. Jamie can make 15 possible choices, as per combinations of DVDs.
Number of Possible Combinations:
Given Information is as follows,
Total number of DVDs that Jamie wanted, n = 6
Number of DVDs Jamie can rent at a time, x =4
The Combinations formula is given as,
ⁿCₓ = n! / (n-x)! x!
Here, n = 6 and x = 4
Substituting these values of n and x in the Combinations formula, we get,
⁶C₄ = 6! / (6-4)! 4!
⁶C₄ = 6! / 2! 4!
⁶C₄ = 6×5×4! / 2! 4!
⁶C₄ = 6×5 / 2
⁶C₄ = 3×5
⁶C₄ = 15
Thus, Jamie can make 15 possible combinations of DVDs.
Learn more about combinations here:
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