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Test Description: Probability
Instructions: Answer all questions to get your test result.
1) Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A
25200
B
210
C
24400
D
21300
2) In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A
209
B
212
C
159
D
201
3) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
A
624
B
812
C
702
D
756
4) In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
A
610
B
920
C
825
D
720
5) In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
A
47200
B
42000
C
48000
D
50400
6) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A
64
B
126
C
1
D
63
7) In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
A
120960
B
140020
C
9800
D
100020
8) There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
A
10420
B
11
C
11760
D
1052
9) How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A
720
B
420
C
5040
D
240
10) A coin is tossed 3 times. Find out the number of possible outcomes.
A
8
B
3
C
24
D
36
*select an answer for all questions
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