self Maths Puzzle Numerical Ability Probability

If 23 books must be placed in a row . In how many ways these books can be arranged such that no two new books are arranged consecutively,,

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self Other Question

3 persons with odds in favour each are 2:3, 5:1, 5:7. Find the probability that majority of persons is in favour. By Using the digits 1, 2, 3, 4, 5, 6, 7, 8 make two four digit numbers and multiply them together. What is the smallest and largest answer you can get?