Q. 235.0( 1 Vote )

Mark the correct alternative in the following:The value of isA. B. C. `D.

( 7C0 + 7C1 ) + ( 7C1 + 7C2 ) + ( 7C2 + 7C3 ) + ( 7C3 + 7C4 ) + ( 7C4 + 7C5 ) + ( 7C5 + 7C6 ) + ( 7C6 + 7C7 )

= 1 + 27C1 + 27C2 + 27C3 + 27C4 + 27C5 + 27C6 + 1

= 1 + 27C1 + 27C2 + 27C3 + 27C3 + 27C2 + 27C6 + 1 (7C3 = 7C4 and 7C2 = 7C5)

= 2 + 22 (7C1 + 7C2 + 7C3)

= 2 + 22 (7 + 6 + 5)

= 2 + 252

= 254

= 28 – 2

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