Question

If m+nP2, = 72 and m-nP2, = 6 then the find the
value of m and n.
​

Answer 1

Answer: ∴(m,n)=(8,2)

Step by step:Bookmark

If

m+n

P

2

=90 and

m−n

P

2

=30, then (m, n) =

m+n

P

2

=90

⇒

(m+n−2)!

(m+n)!

=90

(m+n)(m+n−1)=90

Let m+n=p

⇒p×p−1=90

⇒p×p−1=10×9

⇒p=10

m−n

P

2

=30

⇒

(m−n−2)!

(m−n)!

=90

(m−n)(m−n−1)=30

Let m−n=q

⇒q×q−1=90

⇒q×q−1=6×5

⇒q=6

m+n=10

m−n=6

2m=16⇒m=8,n=2

∴(m,n)=(8,2)

Please mark me Brainlist