Practice Questions – Permutation and Combination – 1

1) Find the value of 9P3.

(a) 504

(b) 309

(c) 405

(d) 600

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2) Find the value of n, if nP5 = 20 nP3.

(a) 5

(b) 8

(c) 6

(d) 4

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3) How many numbers greater than 5000 can be formed with the digits, 3, 5, 7, 8, 9 no digit being repeated?

(a) 216

(b) 126

(c) 512

(d) 252

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4) How many 6 digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number starts with 35 and no digit appears more than once?

(a) 1600

(b) 1680

(c) 900000

(d) 9000

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5) How many 6 digit numbers can be formed from the digits 1, 2, 4, 5, 6, 7 (no digit being repeated) which are divisible by 5?

(a) 555

(b) 156

(c) 120

(d) None of these

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6) How many even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 no digit being repeated?

(a) 111

(b) 600

(c) 900

(d) None of these

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7) In how many ways the letters of the word RAINBOW be arranged?

(a) 5040

(b) 4050

(c) 3040

(d) 8040

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8) In the word RAINBOW, how many words begin with R?

(a) 720

(b) 360

(c) 1440

(d) None of these

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9) In the word RAINBOW, how many words begin with R and ends with W?

(a) 120

(b) 240

(c) 180

(d) 360

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10) In the word RAINBOW, how many words are there in which I and O are never together?

(a) 1440

(b) 720

(c) 3600

(d) None of these

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