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In how many ways can 100 persons can be ...

In how many ways can 100 persons can be arranged along a row so that two specified persons must always be separated by exactly 7 of them.

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The correct Answer is:
`2xx(n-r-1)lfloor(n-2)`
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-ADDITIONAL SOLVED EXAMPLES
  1. Find the number of proper divisors of lfloor15

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  2. Find the number of zeros at the end of (100)!

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  3. In how many ways can 100 persons can be arranged along a row so that t...

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  4. In how many ways can 10 men and 10 women be divided into 10 couples, e...

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  5. Find the number of onto functions that can be defined from a set A={a(...

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  6. How many on-to functions can be defined from a set A={a(1),a(2),.........

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  7. In a class room there are 10 rows and in each row there are 2 chairs. ...

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  8. How many different 5-digited numbers can be made, the sum of whose dig...

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  9. How many 5 digited numbers can be made with odd digits so that no two ...

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  10. Consider A={1,2,3,......,10} Find the sum of all products of numbers b...

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  11. In how many ways 5 couples can be arranged along a row so that no husb...

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  12. Show that the number of ways to select 'r' objects from n distinct obj...

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  13. n different things are arranged along a circle. In how many ways can '...

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  14. Five balls are placed in three boxes. Each box can hold all the five b...

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  15. Five balls are placed in three boxes. Each box can hold all the five b...

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  16. Five balls are placed in three boxes. Each box can hold all the five b...

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  17. Five balls are placed in three boxes. Each box can hold all the five b...

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  18. In howmany ways can a team of 6 horses be selected out of stud of 16 s...

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  19. There are n pairs of shoes in a closet. If r(ltn) are selected at rand...

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  20. There are n pairs of shoes in a closet. If r(ltn) are selected at rand...

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