Answer: a.) 40320
b.) 336
Step-by-step explanation:
since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.
Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:
8*7*6*5*4*3*2*1 = 40320.
b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:
8*7*6 = 336
A scalene triangle is a triangle with no equal sides.
An isosceles triangle is a triangle with 2 equal sides.
An equilateral triangle is a triangle with all equal sides
I can not see the triangle so I gave you the definitions of each of these answers. Hope I helped, if you can describe the triangle I can confirm. Sorry I couldn't be of more help!
Look at this like a right triangle with a height of 32 M and the angle at the base of 22 degrees
The distance from the boat to the lighthouse would be the base of the triangle
to find the base given the height and angle given the formula is
x = height / tan(angle)
x = 32 / tan(22)
x = 79.2 Meters
I just looked it up and it said it is 180
