The value of C447+∑j=15C352-jis equal to?
C547
C552
C452
C753
Explanation for the correct answer:
C447+∑j=15C352-j =C4+C351+C3+C3+4948C350+C34747
=C4+C347+C3+C3+4948C3+50C35147
=C448+C3+C3+4948C3+50C351 ∵Cr+nCr-1=C3n+1n
=C449+C3+49C3+50C351
=C450+C3+50C351
=C451+C351
⇒ C447+∑j=15C352-j=C452
Hence, the value of C447+∑j=15C352-j is C452
Hence, option C is the correct answer.