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Direction: In a school, there is a total of 20 teachers of 5 different subjects viz. Math, English, Science, Hindi, History. The line graph below shows the number of teaches in each subject. Study the data carefully and answer the question.
Q. A committee of 6 teachers is to be formed from Maths and Science teachers. In how many ways it can be done if the committee should have at least 4 math teachers.
  • a)
    64
  • b)
    48
  • c)
    63
  • d)
    49
  • e)
    60
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Direction: In a school, there is a total of 20 teachers of 5 differen...
Number of maths teachers = 6
Number of science teachers = 3
A committee of 6 teachers is to be formed and it should have at least 4 math teachers.
∴ No. of possible ways = 6C4 × 3C2 + 6C5 × 3C1 + 6C6
We know that,
⇒ 15 × 3 + 6 × 3 + 1
⇒ 45 + 18 + 1 = 64
Hence, the correct option is (A).
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