Q.

The value of ∑r=06 6Cr.6C6−r  is equal to:

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a

924

b

1324

c

1024

d

1124

answer is A.

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Detailed Solution

The given expression is ∑r=066Cr6C6−r=6C0.6C6+6C1.6C5+.......+6C6.6C0 We know that (1+x)6(1+x)6=6C0+6C1x+……+6C6x66C0+6C1x+……+6C6x6=6C0·6C6+6C1.6C5+…………+6C6·6C0x6+…….∣ Coefficient of x6 in (1+x)12=12C6=924
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