Permutation and combination questions with answers have been asked in many competitive exams and there are strong chances to ask permutation and combination questions again in SSC, Bank and other competitive exams. Students should prepare for exams by practicing permutation and combination aptitude problems.
Permutation and combination questions are important and 1-2 questions asked in exams every year, try to solve Permutation and combination questions and answers for better results in upcoming competitive exams.
Permutation and combinations problems with solutions will help in your competitive exams. You can learn also how to solve permutation and combinations formulas with examples.
1. In how many different ways can the letters of the word ‘BANKING’ be arranged so that the vowels always come together?
(A) 220
(B) 260
(C) 450
(D) 525
(E) 720
2. In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?
(A) 20080
(B) 4985895
(C) 120960
(D) None of these
3. In how many different ways can the letters of the word ‘MACHINE’ be arranged so that the vowels occupy only the odd positions?
(A) 584
(B) 576
(C) 785
(D) 654
4. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
(A) 2856
(B) 5648
(C) 11760
(D) 12568
5. 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) 148
(B)157
(C) 203
(D) 209
6. How many 3-digit numbers can be formed from the digit 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
7. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
(A) 320
(B)450
(C) 25200
(D) 15920
8. How many 4-letter words with or without meaning can be formed out of the letters of the world, ‘LOGARITHMS’, if repetitions of letters is not allowed?
(A) 40
(B) 400
(C) 5040
(D) 6525
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