Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and
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Answer:
(a) 10!
(b) 9!
(c) 2!9!
Step-by-step explanation:
(a)
Total number of members = 10
We need to line up the ten people.
Total number of ways to arrange n terms is n!. Similarly, total number of ways to line up the ten people is
Therefore the total number of ways to line up the ten people is 10!.
(b)
Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).
Therefore the number of ways to line up the ten people if the groom must be to the immediate left of the bride in the photo is 9!.
(c)
Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).
Bride and groom can interchange there sits.
Total number of ways to arrange bride and groom = 2!
Therefore the number of ways to line up the ten people if the groom must be next to the bride (either on her left to right side) is 9!2!.
Knowing that cos(45°) = 1/√2 is the way forward.
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².