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Q1 of 68 Page 330

Evaluate:
ⁿ⁺¹C_n

We know that:

ⁿC_r =

⇒ⁿ⁺¹C_n=

⇒ⁿ⁺¹C_n=

⇒ⁿ⁺¹C_n= …

⇒ⁿ⁺¹C_n=

⇒ⁿ⁺¹C_n=

⇒ⁿ⁺¹C_n=n+1

Ans: ⁿ⁺¹C_n=n+1

More from this chapter

1

Evaluate:

⁹⁰C₈₈

1

⁷¹C₇₁

1

Evaluate:

2

Verify that:

(i) ¹⁵C₈ + ¹⁵C₉ – ¹⁵C₆ – ¹⁵C₇ = 0

(ii) ¹⁰C₄ + ¹⁰C₃ = ¹¹C₄