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Answer:
The number of complete award announcements possible are 19,554,575,040.
Step-by-step explanation:
Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.
Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.
The number of people entering this year is 22.
The number of ways to select 5 people for Grand Prize is, .
The remaining number of people is, 22 - 5 = 17.
It is provided that the other 5 are selected according to an order.
The number of ways to select other 5 winners is,
The total number of ways to select 10 winners of 22 is:
Total number of ways = 26334 × 742560 = 19,554,575,040.
In maths, f (x) means as a special relationship where every single input has one output.
<u>Step-by-step explanation:</u>
In mathematics, a function is any expression that gives exactly one answer for each particular number. Input is the number provided in the expression, and output is the number obtained from the search or calculation.
In an ordered pair, input’s first number corresponds to the horizontal axis, and output’s second number in the vertical axis. These ordered pairs can then be plotted. Some data on the costs associated with this are called relationships. For example,
It is often written as "f (x)" where x is the input value and is the output value.