ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test

Sr. # Questions Answers Choice
1 110 220 1320 None of these
2
3 The number of the diagonals of a 6 sided figure is 15 21 9 6
4
5 The number of permutations of n objects of which there are n1like of one kind, n2like of the second kind and n3like objects of third kind are
6 When a selection of object is made without paying regard to the order of selection, it is called Sequence Series Combination Permutation
7 How many necklaces can be made from 6 beads of different colours? 120 60 24 15
8 How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once? 15 24 60 120
9 How many signals can be given by 5 flags of different colours, using 3 flags at a time 120 60 24 15
10 In how many ways can 5 persons be seated at a round table 5! 4! 3! 120
11 How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?
12 Number of ways of writing the letters of WORD taken all at a time is 24 4 12 6
13 120 5 4 6
14 n different objects can be arranged taken all at a time in ______ (n + 1)! ways (n - 1)! ways n! ways n ways
15 6 360 120 24
16 0 20 90 80
17 n! 0! 1 None of these
18
19 3 6 0 None of these
20 (n + 2) (n + 1)n in factorial form is
21 n(n - 1) (n - 2) in factorial form is
22 56 7 8 8/7
23 6! = ______ 360 720 6.5.4 None of these
24 8 . 7 . 6. 5 in factorial form is
25 8 1/56 56 None of these
26 0! = ______ 0 1 2 Not defined
27 For a positive integer n n! = n(n + 1) n! = n(n+1)! n! = n(n - 1 ) n! = n(n - 1)!
28 If n is a positive integer then n! is (n - 1) (n - 2) .....3,.2.1 n(n - 1) (n - 2) ...3.2.1 n(n - 1 ) ( n -2) ... 3 None of these
29 In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages 45 30 25 50
30 In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics. 40 30 50 60
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