Each energy bar costs .75 find the cost of one dozen ebergy bars
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If no letters or numbers are repeated, then the number of possibilities will be 11,232,000. Then the probability that the license plate is ABC123 or MOM678 will be 1/8,788,000.
<h3>What are permutation and combination?</h3>A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
A series of license plates are being produced that all have the same pattern of three letters (a-z) followed by three digits (0-9) without any repeats.
If no letters or numbers are repeated, then the number of the possibilities will be
Number of ways = 26 × 25 × 24 × 10 × 9 × 8
Number of ways = 11,232,000
Then the probability that the license plate is ABC123 or MOM678 will be
More about the permutation and the combination link is given below.
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Answer:
Either or
.
Step-by-step explanation:
.
Hence, there are two possibilities to consider:
- Either
,
- Or
.
If , then
.
Substitute into the original equation: . Solve for
:
.
Important: verify that the solution meet the assumption
. Indeed,
and is indeed non-negative. Hence, the solution
is valid.
On the other hand, if , then
.
Substitute into the original equation: . Solve for
:
.
Similarly, verify that the solution satisfies the current assumption that
. Indeed, this assumption is met, and
is also a valid solution.