everybofy is discussing 3rd one & 2nd one.........
i should discuss the 1st one....isnt it...........now....
look...........
abc= 30.......
triplets can be formed is as follows
1) 6 5 1 = 3!
2)15 1 2 = 3!
3) 2 3 5 = 3!
4) 3 10 1 = 3!
add them we get................
= 24 .........(ans).
hope i m correct..............
thanku............
and all r right .....pakka..........
in third one p+q=2....
now 4 second prblm............
(1+x+x2)20=a0+a1x+...........
differnetiate both sides w.r.t. x to get
20(1+x+x2)19(0+1+2x)=0+a1+2a2x+3a3x2+.....
multiply by x we get
x *20(1+x+x2)19(0+1+2x)=0+a1x+2a2x2+3a3x3+.......
now put...........
x= - 1
we get........
-a1+2a2-- 3a3+.......+40a40 = 20.......
freniend and ankur has done a good job .............
but first multiply by x again............
okkkkkkkk
........ thanku..........
hope u understand.........