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GMAT Practice Test - Math - Permutation
GMAT Practice Test - Math - Permutation
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GMAT Practice Test - Math - Permutation
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Coverage
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The GMAT Practice Test - Math - Permutation has been designed to test the important concepts related to permutation and combination. The test covers important topics like evaluating factorial of a number, calculating the number of words formed by using certain letters, finding the number of ways people can be seated in a circle, grouping and rearranging consonents and vowels etc.
1.
Evaluate the following:
82!/80!
a.
6642
b.
6200
c.
1411
d.
1032
e.
1225
2.
Find the value of 30C30.
a.
30
b.
90
c.
1442
d.
900
e.
1
3.
Find the value of 70P2.
a.
1
b.
10
c.
4830
d.
4400
e.
140
4.
In how many different ways can the letters of the word, 'CRICKET' be arranged?
a.
5040
b.
5020
c.
1200
d.
2520
e.
500
5.
In how many different ways can the letters of the word, 'EXPLAIN' be arranged so that, the vowels may occupy only the odd position?
a.
120
b.
250
c.
200
d.
500
e.
576
6.
In how many different ways can the letters of the word, 'COMPUTER' be arranged so that, the vowels always come together?
a.
2020
b.
4320
c.
1200
d.
1060
e.
6210
7.
You have 6 two dollar coins, 6 one dollar coins and 3 fifty cent coins. How many different sums can you pay with these coins?
a.
15
b.
50
c.
60
d.
38
e.
100
8.
In how many different ways can the letters of the word, 'PROBLEM' be arranged so that, the vowels always come together?
a.
2180
b.
3420
c.
1500
d.
1440
e.
3200
9.
In how many ways, can a group of 2 boys and 3 girls be made out of a total of 7 boys and 9 girls?
a.
1668
b.
1852
c.
1200
d.
1764
e.
1463
10.
Out of 8 consonants and 4 vowels, how many words of 5 consonants and 2 vowels can be formed?
a.
236900
b.
8956200
c.
1693440
d.
7865320
e.
4525650
11.
Out of 4 consonants and 3 vowels, how many words of 2 consonants and 1 vowels can be formed?
a.
24
b.
10
c.
110
d.
108
e.
112
12.
A pencil box contains 2 red, 3 white and 3 black balls. In how many ways can 2 balls be drawn from the box, if at least one white ball is to be included in the draw?
a.
18
b.
15
c.
16
d.
34
e.
20
13.
A pencil box contains 3 red, 4 white and 3 black balls. In how many ways can 3 balls be drawn from the box, if at least one red ball is to be included in the draw?
a.
80
b.
50
c.
55
d.
85
e.
65
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