Home
Class 11
MATHS
Prove that ""^(9)P(3)+3xx""^(9)P(2)=""...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8D|28 Videos
  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8E|20 Videos
  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8B|36 Videos
  • PARABOLA

    RS AGGARWAL|Exercise EXERCISE-22|10 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    RS AGGARWAL|Exercise EXERCISE 4|23 Videos

Similar Questions

Explore conceptually related problems

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

Prove that 1+1* ""^(1)P_(1)+2* ""^(2)P_(2)+3* ""^(3)P_(3) + … +n* ""^(n)P_(n)=""^(n+1)P_(n+1).

Evaluate ""^(5)P_(3)xx""^(7)P_(3)

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

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+…….+P_(8)x^(8), then prove that : P_(2)+P_(4)+_(6)+P_(8)=40 " and "P_(1)+P_(3)+P_(5)+P_(7)=-40

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

If (1-x+x^(2))^(4)=1+P_(1)x+P_(2)x^(2)+P_(3)x^(3)+...+P_(8)x^(8) , then prove that : P_(2)+P_(4)+P_(6)+P_(8)=40 and P_(1)+P_(3)+P_(5)+P_(7)=-40 .

If ""^(n)P_(4) =2xx""^(5)P_(3) , find n.

Evaluate the following : (i) ""^(8)P_(5) (ii) ""^(10)P_(3) (iii) ""^(12)C_(7) (iv) ""^(9)C_(0) .