हिंदी

If some or all of n objects are taken at a time, the number of combinations is 2n – 1.

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प्रश्न

If some or all of n objects are taken at a time, the number of combinations is 2n – 1.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Explanation:

When some or all objects, taken at a time, then the number of selection will be

nC1 + nC2 + nC3 + ... + nCn

= 2n – 1  .....[∵ nC0 + nC1 + nC2 + ... + nCn = 2n]

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अध्याय 7: Permutations and Combinations - Exercise [पृष्ठ १२६]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 7 Permutations and Combinations
Exercise | Q 55 | पृष्ठ १२६

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