Let $\sum_{r = 0}^{20} a_{r} x^{r} = {(1 + x + x^{2})}^{10} then$ $a_{5} -^{10} C_{1} \times a_{4} +^{10} C_{2} \times a_{3} -^{10} C_{3} \times a_{2} +^{10} C_{4} \times a_{1} -^{10} C_{5} \times a_{0} =$

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

10 C 4

10 C 5

10 C 2

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$1 + x + x 2 10 = a 0 + a 1 x + a 2 x 2 + … . (1 − x) 10 = 1 − 10 C 1 ⋅ x + 10 C 2 ⋅ x 2 − 10 C 3 ⋅ x 3 + … … ..$
multiply those two Equation , we get the given series and is the coefficient $x 5 i n 1 + x 3 10$ which is zero

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!