puzzle has eight empty spaces, each to be filled by the word 'yes' or 'No'. In how many ways can it be solveda
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The number of ways that each space is to be filled is 256 ways
Given:
Puzzle has eight empty spaces, each to be filled by the word 'yes' or 'No'.
To find:
In how many ways can it be solved
Solution:
Number of spaces = 8
The choices given are 'yes' or 'no'
Number of choices = 2
Number of possible ways of arrangements in 1 space = 2
Number of possible ways of arrangements in 2 spaces = 2 × 2
If this pattern is continued upto 8 spaces
Number of possible ways of arrangements in 8 spaces = 2⁸
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256 ways.
Therefore,
The number of ways that each space is to be filled is 256 ways
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