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free Online Test Permutation and Combination Questions and Answers Quiz 2

Description: Free Online Test questions and answers on Permutation and Combination with explanation for various competitive exams,entrance test. Solved examples with detailed answer test 2

Exercise

"No one is as deaf as the man who will not listen."
- (Proverb)
1 . Directions (1 - 4): Study the given information carefully to answer the questions that follow.
A committee of 6 teachers is to be formed out of 4 science teachers, 5 arts teachers and 3 commerce teachers In how many different ways can the committee be formed if

$Q.$ two teachers from each stream are to be included ?
A.  210 B.    180
C.  145 D.    96
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2 . no teacher from the commerce stream is to be included ?
A.  81 B.    62
C.  46 D.    84
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3 . any teacher can be included in the committee ?
A.  626 B.    718
C.  924 D.    844
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4 . On a shelf three are 4 books on Economics. 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?
A.  967680 B.    120960
C.  40320 D.    5040
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5 . Directions (5 - 10):Study the following information carefully to answer the questions that follow :
A committee of five members is to be formed out of 4 students, 3 teachers and 2 sports coaches. In how many ways can the committee be formed if

$Q.$ the Committee should consist of 2 students. 2 teachers and 1 sports coach ?
A.  25 B.    64
C.  9 D.    36
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6 . any five people cab be selected ?
A.  126 B.    45
C.  120 D.    24
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7 . In how many different ways can the letters of the word ‘LEASE’ be arranged?
A.  240 B.    120
C.  25 D.    60
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8 . In how many different ways can the letters of the word ‘CYCLE’ be arranged?
A.  120 B.    240
C.  30 D.    None of these
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9 . In how many different ways can the letters of the word ‘PEANUT’ be arranged ?
A.  720 B.    360
C.  650 D.    700
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10 . In how many different ways can the letters of the word ‘OFFICES’ be arranged ?
A.  2520 B.    5040
C.  1850 D.    1680
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