Latest CTS Aptitude Question SOLUTION: if nC5=nC6, what is the value of n? a)9 b)10 c)8 d)11

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(#M40152685) CTS Numerical Ability question Keep an EYE

if nC5=nC6, what is the value of n?
a)9
b)10
c)8
d)11

Asked In CTS S.keerthana (9 years ago)

Unsolved Read Solution (19)

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Read Solution (19) :

PRABHAKAR KUMAR  (9 years ago)

as we know that..nCr=nCn-r
so r=5 and n-r=6
or n=6+r=6+5=11

Is this solution Helpfull? Yes (12) | No   

kondapuram tirumalreddy  (9 years ago)

option d: 11

Is this solution Helpfull? Yes (2) | No   

LOGAVANI R S  (9 years ago)

Given that nC5 = nC6
nCr = n! / ((n-r)!r!)
n! / (n-5)!5! = n! / (n-6)!6!
n.(n-1).(n-2).(n-3).(n-4).(n-5) / 5! = n.(n-1).(n-2).(n-3).(n-4).(n-5) .(n-6) / 6!
on cancelling
1 = (n-5)/6
n = 11

Is this solution Helpfull? Yes (2) | No (1)  

kondapuram tirumalreddy  (9 years ago)

option d: 11

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HARSH BHARDWAJ  (9 years ago)

d) 11
nCr=nCn-r
so if r=5 then n-r will be 6
there fore
11C5=11C6

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vasanth  (9 years ago)

ans;5+6=11

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saurabh kumar  (9 years ago)

11
coz........ncr=nc(n-r)

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Sagar  (9 years ago)

nCr= nCs

r=s

n=r+s

n=5+6=11

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sunandhini  (9 years ago)

i did by trial and error method whr
11c5= 11!/(6!*5!) and 11c6=11!/(5!*6!)

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srivani  (9 years ago)

option d:11

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niranjan  (9 years ago)

11 ans............

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pavithra  (9 years ago)

nCr ; 11C5=11C6
here 11C5 can be written as 11C(11-5)=11C6
now 11C6(L.H.s)=11C6(R.H.S)
therefore n=11

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Aiswarya  (9 years ago)

n=6+5=11 nCr=nC(n-r)

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Raghvendra Pandey  (9 years ago)

ans is ....11

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ishita raj  (9 years ago)

11 is the ans.

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Mayur jaiswal  (9 years ago)

11 because 11c5=11c6....

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mahaveer kumar dhaker  (8 years ago)

answer d
n=11 value the put

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K.M.SABARIRAJAN  (8 years ago)

ans is 11 nCr=nCr-n

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KALPAGIRI RAJU  (8 years ago)

nC5=nC6
from 11 if we subtract 5 and 6 the remaining also vice versa

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