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Permutations and Combinations

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A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

A. 21

B. 12

C. 9

D. 108

Permutations and Combinations · Easy · 3 weeks ago

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

A. 870

B. 435

C. 30!

D. 29! + 1

Permutations and Combinations · Easy · 3 weeks ago

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

Permutations and Combinations · Easy · 3 weeks ago

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

Permutations and Combinations · Easy · 3 weeks ago

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

Permutations and Combinations · Easy · 3 weeks ago

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

Permutations and Combinations · Easy · 3 weeks ago

In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

A. 9

B. 12

C. 14

D. 18

Permutations and Combinations · Easy · 3 weeks ago

There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?

A. 15

B. 18

C. 24

D. 30

Permutations and Combinations · Easy · 3 weeks ago

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