PERMUTAION AND COMBINATION Question for CAT (Basic Counting)
- Jul 22
- 2 min read
PERMUTAION AND COMBINATION Question for CAT
Q.1 How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that Repetition of the digits is allowed?
a.125
b.243
c.60
d.None of the above
Q.2 How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that Repetition of the digits is not allowed?
a.125
b.243
c.60
d.None of the above
Q.3 How many 3-digits even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
a.75
b.60
c.108
d.None of the above
Q.4 How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
a.10000
b.5040
c.256
d.None of the above
Q.5 How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
a.720
b.504
c.336
d.None of the above
Q.6 A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
a.9
b.8
c.6
d.None of the above
Q.7 Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
a.20
b.25
c.120
d.None of the above
Q.8 How many 4-digit numbers are there with no digit repeated?
a.3024
b.5040
c.4536
d.None of the above
Q.9 From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?
a.56
b.64
c.8!
d.None of the above
Q.10 There are 5 different buses running from Indore to Mumbai and vice versa. In how many ways can a person travel from Indore to Mumbai and return from Mumbai to Indore?
a.10
b.20
c.25
d.None of the above
Q.11 There are 5 different buses running from Indore to Mumbai and vice versa. In how many ways can a person travel from Indore to Mumbai and return by a different service?
a.10
b.20
c.25
d.None of the above
Q.12 In how many ways can 4 people be seated on 5 different chairs?
a.120
b.45
c.54
d.30
Q.13 In how many ways can 4 people vacate an elevator (order not important) if there are 5 floors in the building?
a.120
b.45
c.54
d.30
Q.14 In how many ways can 5 monkeys be divided among 4 masters, such that each monkey can have only one master but any master can have any number of monkeys?
a.120
b.45
c.54
d.30
Q.15 In how many ways can 3 different rings be worn on 5 fingers?
a.210
b.120
c.125
d.None of the above
Answer for Permutation and Combination for CAT
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
A | C | C | B | C | B | A | C | A | C |
11 | 12 | 13 | 14 | 15 | |||||
B | A | C | B | A |
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