Permutation and Combination Questions for Bank PO and SSC

Permutation and Combination Questions - Permutation and Combination Aptitude

17. 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) 98

(C) 65

(D) 57

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18. 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?

(A) 587

(B) 687

(C) 795

(D)  756

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19. 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) 59

(C) 64

(D) 97

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20. In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

(A) 1586

(B) 1540

(C) 1648

(D) 1648

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21.The value of ⁷⁵P₂ is:

(A) 2779

(B) 6520

(C) 5550

(D) None of these

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22. How many words with or without meaning, can be formed by using all the letters of the world, ‘DELHI’, using each letter exactly once?

(A) 25

(B) 35

(C) 60

(D) 120

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23. In how many ways can the letters of the word ‘LEADER’ be arranged?

(A) 90

(B) 120

(C) 360

(D) 720

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24. How many words can be formed by using all the letters of the word, ‘ALLAHABAD’?

(A) 3652

(B) 5580

(C) 7560

(D) 6320

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