Tell whether each relation is a function
1 answer:
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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.
Answer:
Step-by-step explanation:
Given :
We have to write which identity we will use to prove the given statement.
Consider
Take left hand side of given expression
We know
Comparing , we get, a= 180° and b = q
Substitute , we get,
Also, we know and
Substitute, we get,
Simplify , we get,
Hence, use difference identity to prove the given result.