Maths · The fundamental principle of counting
In a crossword puzzle, 20 words are to be guessed of which 8 words have each an
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
- A. \( 20 P_{8} \)
- B. \( 20 \mathrm{C}_{8} \)
- C. 512
- D. 256
Step-by-step solution
There are 20 words total; 8 words have 2 possible solutions each, and the remaining 12 have 1 solution each. By the fundamental principle of counting, the total number of possible solutions is 2^8 = 256.
Related MCQs
- The number of two-digit numbers which are of the form with are given by…
- Two dice are thrown. The number of sample points in the sample space when six does not appear on any one side is…
- In how many ways is it possible to choose a white square and a black square on a chessboards, so that the squares must not lie in the same r…
- Assertion The possible dimension of a matrix consisting 27 elements is 4 Reason The number of ways of expressing 27 as a product of two posi…
- How many 3 digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8 where digits may be repeated?…