Practice mode / 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 Report a problem How we write and check questions
Question 01 / 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
Question 02 / Permutation and Combination In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? A Option A: 266 B Option B: 5040 C Option C: 11760 D Option D: 86400 E Option E: None of these Correct answer C. 11760 Show answer Open question
Question 03 / Permutation and Combination How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? A Option A: 5 B Option B: 10 C Option C: 15 D Option D: 20 Correct answer D. 20 Show answer Open question
Question 04 / Permutation and Combination In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? A Option A: 159 B Option B: 194 C Option C: 205 D Option D: 209 E Option E: None of these Correct answer D. 209 Show answer Open question
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