Answer:
Step-by-step explanation:
Total number of antenna is 15
Defective antenna is 3
The functional antenna is 15-3=12.
Now, if no two defectives are to be consecutive, then the spaces between the functional antennas must each contain at most one defective antenna.
So,
We line up the 13 good ones, and see where the bad one will fits in
__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __
Each of the places where there's a line is an available spot for one (and no more than one!) bad antenna.
Then,
There are 14 spot available for the defective and there are 3 defective, so the arrange will be combinational arrangement
ⁿCr= n!/(n-r)!r!
The number of arrangement is
14C3=14!/(14-3)!3!
14C3=14×13×12×11!/11!×3×2
14C3=14×13×12/6
14C3=364ways
You can cancel if the top and bottom are both multiplication and they have common factors.
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The answer is C because it’s the only answer that could be correct.
The logarithm :
÷
= 4.
<h3>What is logarithm?</h3>
- Logarithm, the exponent or electricity to which a base should be raised to yield a given number.
- Expressed mathematically, x is the logarithm of n to the bottom b if b^x = n, wherein case one writes x = log_b n.
- Logarithms are described because the answers to exponential equations and so are nearly beneficial in any scenario in which one wishes to remedy such equations (together with locating how lengthy it's going to take for a populace to double or for a financial institution stability to attain a given fee with compound interest).
- A logarithm is the electricity to which a number of should be raised so that it will get a few different number.
- For example, the bottom ten logarithm of a hundred is 2, due to the fact ten raised to the electricity of is a hundred: log(100) = 2.
To learn more about logarithm from the given link:
brainly.com/question/28346542
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