How many different linear arrangements are there of the digits 1, 2, 3, 4, 5, 6 for which: (a)5 and 6 are next to each other ?

(b)5 is before 6?

(c)3 is before 4 and 5 is before 6?

(d) 3 and 4 are next to each other and 5 and 6 are also next to each other?

(e)6 is not last in line?

answer:

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the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only

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