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Quantitative Aptitude MCQ - Permutation And Combinations

41 In the above problem, if the first digit cannot be 0, then

n=26x 25x 9x 9x 8=421200.

42 In how many ways can 10 people be seated in a row so that a given pair is not next to each other?

43 The number of ways to cut a six sided convex polygon whose vertices are labeled into four triangles using diagonal lines that do not cross is

44 Suppose a licence plate contains two letters followed by three digits with the first digit not zero. How many different licence plates can be printed?

Each letter can be printed in twenty-six different ways, the first digit in nine ways and each of the other two digits in ten ways. Hence 26 x 26 x 9 x 10 x 10 = 608400 different plates can be printed.

45 Given ⁿP_r =3024

Value of n will be

Since is product of consecutive positive integers
Hence

ⁿp_r = 3024 = 9 x 8 x 7 x 6

Hence, n = 9

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Six teachers and six students have to sit round a circular table such that there is a teacher between any two students. The number of ways in which…

A. 6 ! x 6 !
B. 5 ! x 6 !
C. 5! x 5!
D. none of these

Correct answer: D

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