There are 9 children playing in a playground. in a game, they all have to stand in a line such that the youngest child is at the beginning of the line. how many ways can the children be arranged in the line?

a. 40,320
b. 362,880
c. 16,777,216
d. 387,420,489

a

Step-by-step explanation:

There are 9 children, but the youngest is always the first one in line. So, there are really only 8 to arrange.

8*7*6*5*4*3*2*1

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation