1. 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 on the committee. In how many ways can it be done?
A. 564 B.645
C. 735 D.756
E. None of these
2. In how many different ways can
the letters of the word 'LEADING' be arranged in such a way that the vowels
always come together?
A. 360 B. 480
C. 720 D. 5040
E. None of these
3. In how many different ways can
the letters of the word 'CORPORATION' be arranged so that the vowels always
come together?
A. 810 B.1440
C. 2880 D.50400
E. 5760
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4.In
how many ways can six different rings be worn on four fingers of one hand?
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5. Out of 7 consonants and 4
vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 210 B. 1050
C. 25200 D. 21400
E. None of these
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6.There
are 12 yes or no questions. How many ways can these be answered?
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A.
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4096
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B.
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2048
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C.
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1024
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D.
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144
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View Answer With Explanation
7. In how many ways can the
letters of the word 'LEADER' be arranged?
A. 72 B. 144
C. 360 D. 720
E. None of these
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8.There
are 7 non-collinear points. How many triangles can be drawn by joining these
points?
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View Answer With Explanation
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9.A
class photograph has to be taken. The front row consists of 6 girls who are
sitting. 20 boys are standing behind. The two corner positions are reserved
for the 2 tallest boys. In how many ways can the students be arranged?
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A.
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6! *
1440
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B.
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18!
* 1440
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C.
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18!
*2! * 1440
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D.
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None
of these
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View Answer With Explanation
10.A box contains 2 white balls,
3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the
box, if at least one black ball is to be included in the draw?
A. 48 B.
64
C. 69 D.
71
