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A lady gives a dinner party to 5 guests ...

A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together, is

A

56

B

126

C

91

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
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  2. The greatest possible number of points of intersection of 8 straight l...

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  4. There are 10 lamps in a hall. Each one of them can be switched on i...

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  5. The number of ways in which four persons be seated at a round table, s...

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  6. At an election there are five candidates and three members to be elect...

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  7. There are p copies each of n different books. Find the number of ways ...

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  8. A library has two books each having three copies and three other books...

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  9. The total number of arrangements of the letters in the expression a^(3...

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  10. The total number of selections of fruit which can be made from 3 banan...

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  11. The total number of ways of dividing mn things into n equal groups, is

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  12. How many different words of 4 letters can be formed with the letters o...

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  13. ""sum(r=1)^(4)""^(21-r)C(4)+ 17C(5), is

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  14. Given that .^(n)C(n-r)+3^(n)C(n-r+1)+3. .^(n)C(n-r+2)+.^(n)C(n-r+3)=...

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  15. If n is even and ""^(n)C(0)lt""^(n)C(1) lt ""^(n)C(2) lt ....lt ""^(...

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  16. Find the number of ways in which one can post 5 letters in 7letter ...

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  17. What is the total number of 2xx2 matrices with each entry 0 or 1...

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  18. Three dice are rolled. Find the number of possible outcomes in which a...

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  19. The numbers of four different digits number that can be formed from th...

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  20. If m and n are positive integers more than or equal to 2, mgtn, then (...

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