मराठी

A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall. - Mathematics and Statistics

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प्रश्न

A hall has 12 lamps and every lamp can be switched on independently. Find the number of ways of illuminating the hall.

बेरीज

उत्तर

Every lamp is either ON or OFF.
There are 12 lamps
Number of instances = 212
This number includes the case in which all 12
lamps are OFF.
∴  Required Number = 212 – 1 = 4095

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Concept of Factorial Function
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Miscellaneous Exercise 6 [पृष्ठ ९३]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 14 | पृष्ठ ९३
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