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Standard XIII

Mathematics

Combination

In an examina...

Question

In an examination, question paper consists of $15$ questions with two sections $A$ and $B$ containing $6$ and $9$ questions respectively. In how many ways can a student attempt $8$ questions, selecting at least $3$ questions from each section ?

5126

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4914

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3600

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4832

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Solution

The correct option is B $4914$
Number of ways
$=^{6} C_{3} \cdot^{9} C_{5} +^{6} C_{4} \cdot^{9} C_{4} +^{6} C_{5} \cdot^{9} C_{3} = 20 \times 126 + 15 \times 126 + 6 \times 84 = 4914$

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In an examination, question paper consists of 15 questions with two sections A and B containing 6 and 9 questions respectively. In how many ways can a student attempt 8 questions, selecting at least 3 questions from each section ?

The correct option is B 4914Number of ways = 6C3⋅ 9C5+ 6C4⋅ 9C4+ 6C5⋅ 9C3=20×126+15×126+6×84=4914

In an examination, question paper consists of $15$ questions with two sections $A$ and $B$ containing $6$ and $9$ questions respectively. In how many ways can a student attempt $8$ questions, selecting at least $3$ questions from each section ?

The correct option is B $4914$
Number of ways
$=^{6} C_{3} \cdot^{9} C_{5} +^{6} C_{4} \cdot^{9} C_{4} +^{6} C_{5} \cdot^{9} C_{3} = 20 \times 126 + 15 \times 126 + 6 \times 84 = 4914$