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How many different dot patterns are used...

How many different dot patterns are used in Braille system?

A

26

B

52

C

63

D

74

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The correct Answer is:
To determine how many different dot patterns are used in the Braille system, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Braille System**: - The Braille system is designed for visually impaired individuals, allowing them to read through touch. - Each character in Braille is represented by a pattern of raised dots. 2. **Structure of Braille Cells**: - A Braille cell consists of 6 dots arranged in 2 columns and 3 rows. - The arrangement allows for various combinations of raised and unraised dots. 3. **Calculating Dot Patterns**: - Each dot in a Braille cell can either be raised or unraised, which gives us 2 possibilities (raised or not) for each dot. - Since there are 6 dots, the total number of combinations can be calculated using the formula for combinations: \[ \text{Total Patterns} = 2^{\text{number of dots}} = 2^6 \] - Calculating \(2^6\): \[ 2^6 = 64 \] 4. **Excluding the Blank Cell**: - Among these 64 combinations, one pattern represents no dots raised at all (the blank cell). - Therefore, we subtract this one combination from the total: \[ 64 - 1 = 63 \] 5. **Conclusion**: - Thus, the total number of different dot patterns used in the Braille system is 63. ### Final Answer: The Braille system uses **63 different dot patterns**. ---
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