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Maths-

General

Easy

Question

For 3  r  n ⁿC_r + 3 ⁿC_r_–1+ 3 ⁿC_r_{–2 +}ⁿC_r_–3 is-

ⁿ⁺³C_r
2 ⁿ⁺²C_r+2
3 ⁿ⁺¹C_r+1
3 ⁿC_r

The correct answer is: ⁿ⁺³C_r

Use ⁿC_r + ⁿC_r_–1 = ⁿ⁺¹C_r
ⁿC_r + ⁿC_r_–1 + 2(ⁿC_r_–1 + ⁿC_r_–2) + ⁿC_r_–2 + ⁿC_r_–3

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