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Standard XII

Mathematics

Combination

In an examina...

Question

In an examination, the question paper consists of $10$ questions which are equally divided into two sections $a$ and $b$ . A student has to attempt a total of six questions by attempting at least two from each section. In how many ways can the student select the questions?

200

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180

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300

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360

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Solution

The correct option is A $200$
$10$ questions
Number of sections $= 2$ $(A$ and $B)$
$2$ from each section
$\Rightarrow$ Number of ways of Assuming
$= A^{5} C_{2} B^{5} C_{4} + A^{5} C_{3} B^{5} C_{3} + A^{5} C_{4} B^{5} C_{2} = 50 + 100 + 50 = 200$
Possible ways of answering $6$ question $= 200$

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In an examination, the question paper consists of 10 questions which are equally divided into two sections a and b. A student has to attempt a total of six questions by attempting at least two from each section. In how many ways can the student select the questions?

The correct option is A 20010 questions Number of sections =2 (A and B)2 from each section ⇒ Number of ways of Assuming =A5C2B5C4+A5C3B5C3+A5C4B5C2=50+100+50=200Possible ways of answering 6 question =200

In an examination, the question paper consists of $10$ questions which are equally divided into two sections $a$ and $b$ . A student has to attempt a total of six questions by attempting at least two from each section. In how many ways can the student select the questions?

The correct option is A $200$
$10$ questions
Number of sections $= 2$ $(A$ and $B)$
$2$ from each section
$\Rightarrow$ Number of ways of Assuming
$= A^{5} C_{2} B^{5} C_{4} + A^{5} C_{3} B^{5} C_{3} + A^{5} C_{4} B^{5} C_{2} = 50 + 100 + 50 = 200$
Possible ways of answering $6$ question $= 200$