book Maths Puzzle Numerical Ability

How many different arrangements of the letters of the word "doodle" are possible?

Thank You

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book Other Question

The question is: evaluate exactly without the use of your calculater. Be sure to show all your work.

cos(2pi/3)

b) cot 17pi/6

c) sin 135 degrees

d) sec (-540 degrees)
3a+7=31