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A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?

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प्रश्न

A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?

योग
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उत्तर

A signal is generated from 2 flags and there are 4 flags of different colours available.

∴ 1st flag can be any one of the available 4 flags.

∴ It can be selected in 4 ways.

Now, 2nd flag is to be selected for which 3 flags are available for a different signal.

∴ 2nd flag can be anyone from these 3 flags.

∴ It can be selected in 3 ways.

∴ By using fundamental principle of multiplication, total no. of ways a signal can be generated

= 4 × 3

= 12

∴ 12 different signals can be generated.

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अध्याय 3: Permutations and Combination - Exercise 3.1 [पृष्ठ ४७]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 3 Permutations and Combination
Exercise 3.1 | Q 2 | पृष्ठ ४७

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