Arithmetic Aptitude :: Permutation and Combination
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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Required number of words = (10080 x 12) = 120960