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Statement-I : The number of ways of arra...

Statement-I : The number of ways of arranging the letters of the word TRIANGLE so that the relative positions of the vowels and consonents are not disturbed is 360.
Statement-II : The number of ways of arranging the letters of the word MONDAY so that no vowel occupies even place is 144. Statement-III : The number of 3 letter words using the letters of the word MISTER in which atleast one letter is repeated is 96. Which of the above statements is true.

A

I & II are true

B

II & III are true

C

I & III are true

D

I, II & III are true

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
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  2. Ravish writes letters to his five friends and addresses the correspond...

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  3. Statement-I : The number of ways of arranging the letters of the word ...

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  4. If a, b, c are the number of functions, injections, constant functions...

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  5. Match the following {:("Word","Number of permutations by using all t...

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  6. Assertion (A) : There are three doors to a room. The number of ways in...

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  7. If ""^(35)C(n+7)=""^(35)C(4n-2), then all the values of n are given by

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  8. IF ""^(15)C(r+3)=""^(15)C(2r-3), then r=

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  9. ""^(n-2)C(r)+2.""^(n-2)C(r-1)+""^(n-2)C(r-2) is equal to

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  10. If ""^(18)C(r)=""^(18)C(r+2) then ""^(R )C(5)=

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  11. If ""^(n)C(4)=""^(n)C(8), then ""^(n)C(2) is

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  12. ""^(29)C(5)+sum(r=0)^(4)""^((33-r))C(4)=

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  13. ""^(15)C(8)+""^(15)C(9)-""^(15)C(6)-""^(15)C(7) is equal to

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  14. If ""^(18)C(15)+2(""^(18)C(16))"+"^(17)C(16)+1=""^(n)C(3) then n is

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  15. ""^(14)C(4)+sum(j=1)^(4)""^((18-j))C(3) is equal to

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  16. If p and q are the greatest values of ""^(2n)C(r) and ""^(2n-1)C(r) re...

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  17. If ""^(n+1)C(3)=4(""^(n)C(2)), then n is equal to

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  18. ""^(2n)C(2)-2""^(n)C(2)=

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  19. The least positive integral value of x which satisfies the inequality ...

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  20. The least value of the natural numbar 'n' satisfying C(n,5)+C(n,6)gtC(...

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