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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. If a committee of 5 teachers is to be formed so that it must have 1 teacher of each subject. In how many ways it can be done?
  • a)
    360
  • b)
    840
  • c)
    120
  • d)
    720
  • e)
    600
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: In a school, there is a total of 20 teachers of 5 differen...
The number of teachers
Math: 6, English: 4, Science: 3, Hindi: 5, History: 2
A committee of 5 teachers is to be formed so that it must have 1 teacher of each subject.
∴ Number of ways = (6C1 × 4C1 × 3C1 × 5C1 × 2C1)
We know that,
⇒ (6 × 4 × 3 × 5 × 2)
⇒ 720
Hence, the correct option is (D).
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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. If a committee of 5 teachers is to be formed so that it must have 1 teacher of each subject. In how many ways it can be done?a)360b)840c)120d)720e)600Correct answer is option 'D'. Can you explain this answer?
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