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Permutation and Combination

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together_______?

A.120

B.720

C.4320

D.2160

E.None of these

Show Answer

Answer=Option B

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together______?

A.10080

B.4989600

C.120960

D.None of these

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.40

B.400

C.5040

D.2520

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.63

B.90

C.126

D.45

E.135

Show Answer

Answer=Option A

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.32

B.48

C.36

D.60

E.120

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.32

B.48

C.64

D.96

E.None of these

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women______?

A.266

B.5040

C.11760

D.86400

E.None of these

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.5

B.10

C.15

D.20

Show Answer

Answer=Option D

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

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.159

B.194

C.205

D.209

E.None of these

Show Answer

Answer=Option D

Categories Aptitude Mcqs, Permutation and Combination Leave a comment

In how many ways can the letters of the word ‘LEADER’ be arranged______?

A.72

B.144

C.360

D.720

E.None of these

Show Answer

Answer=Option C

Categories Aptitude Mcqs, Permutation and Combination Leave a comment
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