Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The value of the expression k–1 C k–1 + k C k–1 + . . . + n + k – 2 C k – 1 is
Text Solution
Verified by ExpertsThe correct answer is:
B
We have k–1 C k–1 + k C k-1 + . . . + n+k–2 C k–1
= k C k + k C k–1 + k+1 C k–1 . . . + n+k–2 C k–1 [since k C k = 1
= k 1 C k–1 ]
= k+1 C k + k+1 C k-1 +. . . . + n+k–2 C K–1 [ since k C k + k C k-1
= k+1 C k ]
= k+2 C k + . . . . + n+k–2 C k–1 = . . . = n+k–2 C k + n+k–2 C k–1 = n+k–1 C k—1
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