Aptitude  Permutations and Combinations  Practice Q&A-Easy

1. 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?

32 48 64 96

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2. 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?

5 10 15 20

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3. In how many ways can the letters of the word LEADER be arranged?

72 144 360 720

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4. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?

720 360 1420 1680

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5. An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?

100 80 110 64

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6. 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?

40 400 5040 2520

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7. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?

62 48 12 24

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8. 25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?

None of these 600 576 625

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

266 5040 11760 86400

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10. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?

120 720 125 729

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