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There are 5 teachers and 20 students . ...

There are 5 teachers and 20 students . Out of them a committee of teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees
(a) a particular teacher is included ?
(ii) a particular student is excluded ?

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The correct Answer is:
(i) 11400
(ii) 9690
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SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
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  8. How many ways a committee of six persons from 10 persons can be chosen...

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  9. How many different selections of 5 books can be made from 12 differe...

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  10. There are 5 teachers and 20 students . Out of them a committee of t...

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  11. In an examination a student has a answer 5 questions, out of 9 quest...

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  12. Determine the number of 5 card combinations out of a deck of 52 car...

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  14. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

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  17. Find the number of strings of 4 letters that can be formed with the le...

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  20. A polygon has 90 diagonals. Find the number of its sides ?

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