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In a crossword puzzle, 20 words are to be guessed of which 8 w

Question

In a crossword puzzle, $20$ words are to be guessed of which $8$ words have each an alternative solution also. The number of possible solutions will be

^{20} P_{8}

^{20} C_{8}

512

256

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Michael Discussed

In a crossword puzzle,

20

words are to be guessed of which

8

words have each an alternative solution also. The number of possible solutions will be

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

8

out of the

20

words have an alternative solution.

12

words are fixed, so they won't affect the number of ways.

So now we find the number of ways in which the remaining

8

words can be guessed.

Now every word have

2

solutions,

so there are

2

ways to fill each of these words, and for

8

such words,

it can be done in

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{8} = 256

ways.

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Question Text	In a crossword puzzle, $20$ words are to be guessed of which $8$ words have each an alternative solution also. The number of possible solutions will be
Answer Type	Text solution:1
Upvotes	150