Which word is used to name the bold number? 18 – z = 10
2 answers:
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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:
Step-by-step explanation:
Given:
The expression to simplify is given as:
We have to simplify this using the properties of exponents.
The property that we use here is:
So, let us simplify the powers of separately and -24 and 8. This gives,
Therefore, the simplified form is: