$(^{7} C_{0} +^{7} C_{1}) + (^{7} C_{2} +^{7} C_{3}) + .... + (^{7} C_{6} +^{7} C_{7}) =$

2^{8} - 2

2^{7} - 1

2^{7}

2^{8} - 1

2^{7} - 2

Views: 606 students

Found 6 tutors discussing this question

Olivia Discussed

(^{7} C_{0} +^{7} C_{1}) + (^{7} C_{2} +^{7} C_{3}) + .... + (^{7} C_{6} +^{7} C_{7}) =

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

(^{7} C_{0} +^{7} C_{1}) + (^{7} C_{2} +^{7} C_{3}) + - - - - - - + (^{7} C_{6} +^{7} C_{7})

=^{7} C_{0} +^{7} C_{1} + - - - - +^{7} C_{7}

= 2^{7} [∵ C_{0} + C_{1} + C_{2} + - - - - + C_{n} = 2^{n}]

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes