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প্রমাণ করুন যে ^10P3=^9P3+3.^9P2...

প্রমাণ করুন যে `^10P_3=^9P_3+3.^9P_2`

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Prove that ^10P_3=^9P_3+3.^9P_2

Prove that : (i) ""^(n)P_(n)=2""^(n)P_(n-2) (ii) ""^(10)P_(3)=""^(9)P_(3)+3""^(9)P_(2) .

Find r if : ^10P_r=2. ^9P_r

"is"^(10)P_(3)= ""^(9)P_(2)+3""^(9)P_(3) ?.

Prove that (1)8P_(3)=7P_(3)+3.7P_(2) and (2)9P_(4)+4.9P_(4)=10P_(4)

Prove that ""^(9)P_(3)+3xx""^(9)P_(2)=""^(10)P_(3).

Evaluate the following: (i) .^(9)P_(3) (ii) .^(10)P_(2) (iii) .^(12)P_(4)

Find n if .^(n-)P_(3): .^(n)P_(4) = 1:9 .