**Permutation And Combination - Aptitude Questions and Answers | Online Permutation And Combination MCQ Aptitude Test**

Quiz Name | Permutation And Combination |

Category | Online Aptitude Test |

Number of Questions | 15 |

Time | 30 Minutes |

Exam Type | MCQ (Multiple Choice Questions) |

**1.**Five people will be chosen from a group of seven men and six women to create a committee, with at least three males on the committee. How many different ways can it be done?

a. 564

b. 645

c. 735

d. 756

**2.**How many different ways can the letters in the word 'LEADING' be arranged so that the vowels are always together?

a. 360

b. 480

c. 720

d. 5040

**3.**How many different ways can the letters in the word "CORPORATION" be arranged so that the vowels always meet?

a. 810

b. 1440

c. 2880

d. 50400

**4.**How many words may be created with three consonants and two vowels from a set of seven consonants and four vowels?

a. 210

b. 1050

c. 25200

d. 21400

**5.**How many different ways can you arrange the letters in the word 'LEADER'?

a. 72

b. 144

c. 360

d. 720

**6.**Four youngsters will be chosen from a group of six males and four girls. How many different ways can they be chosen to ensure that at least one boy is present?

a. 159

b. 194

c. 205

d. 209

**7.**How many three-digit numbers can be made using the digits 2, 3, 5, 6, 7, and 9, all of which are divisible by five and have no repeats?

a. 5

b. 10

c. 15

d. 20

**8.**How many different ways can a committee of 5 men and 6 women be created from 8 men and 10 women?

a. 266

b. 5040

c. 11760

d. 86400

**9.**There are two white balls, three black balls, and four red balls in a box. If at least one black ball is to be included in the draw, how many ways may three balls be chosen from the box?

a. 32

b. 48

c. 64

d. 96

**10.**How many different ways can the letters in the word 'DETAIL' be arranged so that the vowels only appear in odd positions?

a. 32

b.48

c. 36

d. 60

**11.**Out of a total of 7 men and 3 women, how many ways can a group of 5 men and 2 women be formed?

a. 63

b. 90

c. 126

d. 45

**12.**If letter repetition is not permitted, how many four-letter words with or without meaning can be created from the letters in the word 'LOGARITHMS'?

a. 40

b. 400

c. 5040

d. 2520

**13.**How many different ways can the letters in the word "MATHEMATICS" be arranged so that the vowels always meet?

a. 10080

b. 4989600

c. 120960

d. None of these

**14.**How many different ways can you arrange the letters in the word "OPTICAL" so that the vowels always come together?

a. 120

b. 720

c. 4320

d. 2160

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