permutation and combination solve question no.1
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nP4=12 × nP2
np4/nP2=12
n!/(n-4)!/n!/(n-2)!=12
Now
(n-2)!/(n-4)!=12
(n-2)!/(n-4)(n-3)(n-2)!=12
Here (n-2)! Cancel
12(n-4)(n-3)=0
Ie (n-4)(n-3)=0
So n=4,3 ans
np4/nP2=12
n!/(n-4)!/n!/(n-2)!=12
Now
(n-2)!/(n-4)!=12
(n-2)!/(n-4)(n-3)(n-2)!=12
Here (n-2)! Cancel
12(n-4)(n-3)=0
Ie (n-4)(n-3)=0
So n=4,3 ans
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