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Number of ways in which 7 people can occ...

Number of ways in which 7 people can occupy six seats, 3 seats on each side in a first class railway compartment if two specified persons are to be always included and occupy adjacent seats on the same side, is `(k). 5 !` then `k` has the value equal to: 2 (b) 4 (c) 8 (d) None of these

A

2

B

4

C

8

D

none

Text Solution

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The correct Answer is:
C
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MOTION-THEORY AND EXERCISE BOOK-EXERCISE - 4 (LEVEL -II)
  1. Number of ways in which 7 people can occupy six seats, 3 seats on each...

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  2. The number of arrangements of the letters of the word BANANA in whi...

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  3. Number of points with integral co-ordinates that lie inside a triangle...

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  4. Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer...

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  5. r, s, t are prime numbers and p, q are natural numbers such that LCM o...

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  6. The letters of the word COCHIN are permuted and all the permutation...

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  7. Consider all possible permutations of the letters of the word ENDEANOE...

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  8. The number of seven digit integers, with sum of the digits equal to 10...

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  9. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

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  10. The total number of ways in which 5 balls of differ- ent colours can b...

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  11. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  12. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  13. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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  14. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

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  15. Let ngeq2 be integer. Take n distinct points on a circle and join each...

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  16. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

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  17. Let n be the number of ways in which 5 boys and 5 girls can stand in a...

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  18. A debate club consists of 6 girls and 4 boys. A team of 4 members is t...

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  19. How many 3xx3 matrices M with entries from {0,1,2} are there, for whic...

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  20. Word of length 10 are formed using the letters A,B,C,D,E,F,G,H,I,J....

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  21. In a high school, a commintee has to be formed from a group of 6 boys ...

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