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Permutations and Combinations Questions And Answers.

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Exercise :: Permutations and Combinations
1.Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving.

I. Single flag of different colours

II. Any two flags in a different sequence of colours.

III. three flags in a different sequence of colours.

The maximum number of codes that can be generated is.

A. 6
B. 9
C. 15
D. 18
2.A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A. 63
B. 511
C. 1023
D. 15
3.In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A. 400
B. 500
C. 600
D. 20
4.In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?
A. 25
B. 13
C. 40
D. 30
5.A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
A. ?C?
B. ³C?
C. ¹?C?
D. ¹²C?