the ratio of factorial of a number x to the square of the factorial of another number,which when increased by 50% gives the required number,is 1.25. find the number x?
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OpenStudy (ikram002p):
p! / (q!)^2
so u mean q+0.5 q =p ?
OpenStudy (mathmath333):
optinons
a. 6
b 5
c 9
OpenStudy (mathmath333):
well the interpretation of que is itself confusing to me
OpenStudy (ikram002p):
ohkk , so its like this :)
x! / (q!)^2 + 50 % x! / (q!)^2 = 1.25
OpenStudy (ikram002p):
@ganeshie8 is it correct so far ?
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ganeshie8 (ganeshie8):
i think your interpretation is correct,
150% of q must give the x
x = 1.5q
OpenStudy (anonymous):
its , (1.5q)!/(q!)^2 =1.25
q! cannot be canceled
OpenStudy (ikram002p):
yeah mmm
being ratio 5/6
still dont know
OpenStudy (ikram002p):
lol ok xD
i thought this thing is correct xD
(ab )! = a (b!) = a! (b)
OpenStudy (ikram002p):
ok we can interept it like this
1.5 q should be integer
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OpenStudy (ikram002p):
also q should be integer
ganeshie8 (ganeshie8):
and only 6 makes it an integer is it
OpenStudy (ikram002p):
we should reason that
ganeshie8 (ganeshie8):
ofcourse out of the given options
OpenStudy (ikram002p):
lets see if there is another way
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ganeshie8 (ganeshie8):
that looks good to me,
5 and 9 are odd so they cannot make 1.5q an integer... so we can conlude the answer is 6
OpenStudy (ikram002p):
(3/2 q )
then q is even
hehe xD
yeah options
OpenStudy (mathmath333):
thns
OpenStudy (ikram002p):
@ganeshie8
how to go far from here ?
|dw:1407411997222:dw|
ok lol what i wanna say is
n=1,2,3,4,.....
so check whick n satisfy :3
that would be n=2
q=2n=4
thus
x=6