Someone Please Help Me With This n _ = 1 6 3
1 answer:
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Answer:
a) 1,757,600 different plates possible.
b) 1,404,000 different plates possible.
Step-by-step explanation:
The permutations formula is important to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
(a) can be repeated:
There are 3 letters, each one with 26 possible outcomes.
2 digits, each with 10 possible outcomes
So
T = 26*26*26*10*10 = 1757600
1,757,600 different plates possible.
(b) cannot be repeated:
Here the permutations formula is used.
Three letters, from a set of 26.
Two digits, from a set of 10. So
1,404,000 different plates possible.
Answer:
is a multiple of 4
Step-by-step explanation:
Let's think about this.
Even numbers are basically numbers that, when divided by 2, get us an integer.
This means that must be an even integer.
<em>However,</em>
Every other even number, when divided by 2, gets you an odd integer.
This means that every second even number, gets us an even number.
This also means that every time is an even number, n will be a multiple of 4 (as
).
Test this out with any even number that's a multiple of 4 (all multiples of 4 are even numbers)
Hope this helped!