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Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination1 Mark
Question
Find the value of

${ }^{15} C_4+{ }^{15} C_5$

✓

Answer

$\begin{aligned}{ }^{15} C _4+{ }^{15} C _5 & ={ }^{15} C _5+{ }^{15} C _4={ }^{15} C _5+{ }^{15} C _{5-1} \\ & ={ }^{16} C _5 \quad \ldots\left[\because{ }^n C _{ r }+{ }^n C _{ r -1}={ }^{ n +1} C _{ r }\right]\end{aligned}$

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