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CBSE Class 11-science Answered

In an examination a question paper consists of 12 question divided into two parts i.e. Part 1 and Part II, containing 5 and 7 questions respectively. A student is required to attempt 8 question in all, selecting at least 3 form each part. In how many ways can a student select the questions 2.
Asked by Topperlearning User | 13 Sep, 2016, 03:09: AM
answered-by-expert Expert Answer

Student may select 8 questions according to following-scheme

 
I (Total 5 questions)
II (Total 7 question)
(a)
3
5
(b)
4
4
(c)
5
3
 
if  is the required number of ways, then
P equals C left parenthesis 5 comma 3 right parenthesis X C left parenthesis 7 comma 5 right parenthesis plus C left parenthesis 5 comma 4 right parenthesis X C left parenthesis 7 comma 4 right parenthesis plus C left parenthesis 5 comma 5 right parenthesis X C left parenthesis 7 comma 3 right parenthesis
space space space space equals 10 X 21 plus 5 X 35 plus 35 equals 420 space W A Y S
Answered by | 13 Sep, 2016, 05:09: AM

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