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In a cross word puzzle 20 words are to be guessed of which 8 words have each an alternative solution. The number of possible solution is ________.
  • a)
    (2 × 8)2
  • b)
    20C16
  • c)
    20C8
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a cross word puzzle 20 words are to be guessed of which 8 words hav...
To find the number of possible solutions, we need to calculate the total number of solutions for the 20 words and then multiply it by the number of alternative solutions for the 8 words.

For the 20 words, there are no alternative solutions, so each word has only one possible solution. Therefore, the total number of solutions for the 20 words is simply the number of permutations of 20 objects, which is:

20!

To calculate the number of possible solutions for the 8 words with alternative solutions, we need to multiply the number of alternative solutions for each word together. Since each of the 8 words has 2 alternative solutions, the number of possible solutions for these words is:

2^8

Therefore, the total number of possible solutions for the crossword puzzle is:

20! * 2^8

This is a very large number, which is approximately equal to:

7.95 x 10^25

So the answer is (d) 7.95 x 10^25.
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