Practice mode / Permutation and Combination In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? A Option A: 10080 B Option B: 4989600 C Option C: 120960 D Option D: None of these Correct answer C. 120960 Show answer Report a problem How we write and check questions
Question 01 / Permutation and Combination 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? A Option A: 40 B Option B: 400 C Option C: 5040 D Option D: 2520 Correct answer C. 5040 Show answer Open question
Question 02 / Permutation and Combination 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? A Option A: 63 B Option B: 90 C Option C: 126 D Option D: 45 E Option E: 135 Correct answer A. 63 Show answer Open question
Question 03 / Permutation and Combination In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions? A Option A: 32 B Option B: 48 C Option C: 36 D Option D: 60 E Option E: 120 Correct answer C. 36 Show answer Open question
Question 04 / Permutation and Combination A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw? A Option A: 32 B Option B: 48 C Option C: 64 D Option D: 96 E Option E: None of these Correct answer C. 64 Show answer Open question
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