Quantitative Apitude-Permutation and Combination

Quantitative Apitude-Permutation and Combination
1. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
  • 564
  • 645
  • 735
  • 756
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2. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
  • 360
  • 480
  • 720
  • 5040
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3. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
  • 810
  • 1440
  • 2880
  • 50400
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4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
  • 210
  • 1050
  • 25200
  • 21400
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5.  In how many ways can the letters of the word 'LEADER' be arranged?
  • 72
  • 144
  • 360
  • 720
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6. 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?
  • 159
  • 194
  • 205
  • 209
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7. 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?
  • 5
  • 10
  • 15
  • 20
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8. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
  • 266
  • 5040
  • 11760
  • 86400
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9. 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?
  • 32
  • 48
  • 64
  • 96
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10. 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?
  • 32
  • 48
  • 36
  • 60
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