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The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______. - Mathematics

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प्रश्न

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.

विकल्प

  • 63

  • 1956

  • 720

  • 21

MCQ
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उत्तर

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is 1956.

Explanation:

Number of signals using one flag = 6P1 = 6

Number of signals using two flags = 6P2 = 30

Number of signals using three flags = 6P3 = 120

Number of signals using four flags = 6P4 = 360

Number of signals using five flags = 6P5 = 720

Number of signals using all six flags = 6P6 = 720

Therefore, the total number of signals using one or more flags at a time is 6 + 30 + 120 + 360 + 720 + 720 = 1956 (Using addition principle).

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अध्याय 7: Permutations and Combinations - Solved Examples [पृष्ठ १२१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Solved Examples | Q 17 | पृष्ठ १२१

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