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Quantitative Aptitude

PERMUTATION AND COMBINATION MCQs

Permutations And Combinations

Total Questions : 444 | Page 10 of 45 pages
Question 91. 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?
  1.    159
  2.    194
  3.    205
  4.    209
  5.    None of these
 Discuss Question
Answer: Option D. -> 209
Question 92. 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?
  1.    5
  2.    10
  3.    15
  4.    20
  5.    None of these
 Discuss Question
Answer: Option D. -> 20
Question 93. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
  1.    266
  2.    5040
  3.    11760
  4.    86400
  5.    None of these
 Discuss Question
Answer: Option C. -> 11760
Question 94. 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?
  1.    32
  2.    48
  3.    64
  4.    96
  5.    None of these
 Discuss Question
Answer: Option C. -> 64
Question 95. 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?
  1.    32
  2.    48
  3.    36
  4.    60
  5.    120
 Discuss Question
Answer: Option C. -> 36
Question 96. 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?
  1.    63
  2.    90
  3.    126
  4.    45
  5.    135
 Discuss Question
Answer: Option A. -> 63
Question 97. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
  1.    120
  2.    720
  3.    4320
  4.    2160
  5.    None of these
 Discuss Question
Answer: Option B. -> 720
Question 98. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
  1.    10080
  2.    4989600
  3.    120960
  4.    None of these
  5.    None of these
 Discuss Question
Answer: Option C. -> 120960
Question 99. 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?
  1.    40
  2.    400
  3.    5040
  4.    2520
  5.    None of these
 Discuss Question
Answer: Option C. -> 5040
Question 100. 20 men handshake with each other without repetition. What is the total number of handshakes made?
  1.    190
  2.    210
  3.    150
  4.    250
  5.    None of these
 Discuss Question
Answer: Option A. -> 190

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