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(\binom{9}{5}) is equal to which expression?(\binom{9}{5}) किसके बराबर है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\binom{9}{4}\)\(\binom{9}{4}\)
Combinations satisfy the symmetry property \(\binom{n}{r}=\binom{n}{n-r}\). Therefore, \(\binom{9}{5}=\binom{9}{9-5}=\binom{9}{4}\). \(\binom{9}{3}\) has a different number of selected objects, so it is not equal to the given expression. Exam tip: You can quickly replace \(\binom{n}{r}\) with \(\binom{n}{n-r}\).संचय का सममिति गुण है: \(\binom{n}{r}=\binom{n}{n-r}\)। अतः \(\binom{9}{5}=\binom{9}{9-5}=\binom{9}{4}\)। \(\binom{9}{3}\) में चयन की संख्या अलग है, इसलिए वह बराबर नहीं है। परीक्षा टिप: \(\binom{n}{r}\) को तुरंत \(\binom{n}{n-r}\) से बदला जा सकता है।
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