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The number of ways in which we can choos...

The number of ways in which we can choose two positive integers from 1 to 100 such that their product is a multiple of 3 is

A

`""^(100)C_(2)-""^(33)C_(2)`

B

`""^(100)C_(2)-""^(67)C_(2)`

C

`""^(33)C_(2)`

D

`""^(100)C_(2)`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
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  4. The number of positive integral solutions of the equation xyz = 30 is

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  8. m' men and 'n' women are to be seated in a row so that no two women si...

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  9. There are 'n' different books and 'p' copies of each. The number of wa...

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  10. ""^(15)C(0)=

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

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  12. If m=""^(n)C(2),"then """^(m)C(2)=

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  13. The number of arrangements of the letters of the word BHARAT taking 3 ...

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  14. The number of all possible squares in a chess board is

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  15. The number of ways in which 7 persons can address a meeting so that ou...

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  16. The number of ways in which 10 candidates A(1),A(2),A(3),.........,A(1...

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  17. The number of ways in which 11 denoted pencils can be distributed amon...

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  18. The sides BC, CA, AB of a triangle ABC have 3, 4 and 5 interior points...

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  19. If ""^(n)P(r)=3024 & ""^(n)C(r)=126 then the value of r =

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  20. Let T(n) denote the number of triangles which can be formed by using t...

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