Sunday, November 16, 2008

original questions of CAT 2008....

1.) How many distinct terms are there in (a+b+c)^20?
a.231 b.253 c.242 d.210 e.228

5 comments:

Mohit Vyas said...

231..
(a+b+c)^20=[1+(b+c)/a]^20*(a^20)
expanding it binomially,we get 21 terms
20 C r(1^r)*(b+c/a)^(20-r) as general term..
we get the terms containing elements as
1+2+3+4+......21
so 231 is the ans....
m i ryt?

monika b said...

yeah u r absolutely correct...

monika b said...

solve 1 more qus...
a+b+c = 20, How many non negative integral solns exist fords equation???

monika b said...

can u corelate both dese qustions????

Unknown said...

How many distinct terms are there in (a+b+c)^20?
i got the answer as 231 mam...

now, a+b+c = 20, How many non negative integral solns exist fords equation???
is d answer of dis 63....
and how to correlate both dese questions mam....