In a fruit basket there are 5 apples, 7 plums and 11 oranges. You have to pick 3 fruits ofeach type. In how many ways can you make your choice? A question paper consists of 12 questions divided into two partsA and B, containing 5 and 7 questions respectively. A student is required to attempt 6 questions in all, selecting at least 2 from each part. In how many ways cán a student select a question? Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how many ways can it be formed selecting (i) exactly 1 woman. (ii) atleast 1 woman. To fill up 5 vacancies, 25 applications were received. There were 7 S.C. and 8 O.B.C. candidates among the applicants. If 2 posts were reserved for S.C. and 1 for O.B.C. candidates, find the number of ways in which selection could be made?
In a fruit basket there are 5 apples, 7 plums and 11 oranges. You have to pick 3 fruits ofeach type. In how many ways can you make your choice? A question paper consists of 12 questions divided into two partsA and B, containing 5 and 7 questions respectively. A student is required to attempt 6 questions in all, selecting at least 2 from each part. In how many ways cán a student select a question? Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how many ways can it be formed selecting (i) exactly 1 woman. (ii) atleast 1 woman. To fill up 5 vacancies, 25 applications were received. There were 7 S.C. and 8 O.B.C. candidates among the applicants. If 2 posts were reserved for S.C. and 1 for O.B.C. candidates, find the number of ways in which selection could be made?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:In a fruit basket there are 5 apples, 7 plums and 11 oranges. You have to pick 3
fruits ofeach type. In how many ways can you
make
your
choice?
A question paper consists of 12 questions divided into two partsA and B,
containing 5
and 7 questions respectively. A student is required to attempt 6 questions in all,
selecting at least 2 from each part. In how many ways cản a student select a
question?
Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how
many ways can it be formed selecting (i) exactly 1 woman. (ii) atleast 1 woman.
To fill up 5 vacancies, 25 applications were received. There were 7 S.C. and 8
O.B.C. candidates among the applicants. If 2 posts were reserved for S.C. and 1
for O.B.C. candidates, find the number of ways in which selection could be made?
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