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A delegation of four students is to be s...

A delegation of four students is to be selected from al total of 12 students. In how many says can the delegation be selected. if all the students are equally willing? if two particular students have to be included in the delegation? if two particular students do not wish to be together in the delegation? if two particular students wish to be included together only in the  delegation? if two particular students refuse to be together and two other particular students wish to be together only in the delegation?

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A delegation of four students is to be selected from all total of 12 students. In how many ways can the delegation be selected. (a)If all the students are equally willing? (b)If two particular students have to be included in the delegation? (c)If two particular students do not wish to be together in the delegation? (d)If two particular students wish to be included together only in the delegation?

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

A delegation of 6 members is to be sent abroad out of 12 members. In how many ways can the selection be made so that , a particular member is included?

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A round table conference is to be held between 20 delegates of 20 countries. In how many ways can they be seated if two particular delegates are always together.

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In how many ways can a committee of four be selected from nine so as to always include a particular man?

In how many ways can 12 books be divided in 3 students equally?

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. Passengers are to travel by a double decked bus which can accommodate ...

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  3. A delegation of four students is to be selected from al total of 12 ...

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  4. In a conference 10 speakers are present. If S1 wants to speak before S...

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  5. Five boys and five girls sit alternately around a round table. In how ...

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  6. Find the number of ways in which A A A B B B can be places in the squa...

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  7. A regular polygon of 10 sides is constructed. In how many way can 3...

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  8. In ;a plane, there are 5 straight lines which will pass through a give...

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  9. If ^15 C(3r):^(15)C(r+1)=11 :3 , find the value of rdot

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  10. If the ratio ^2n C3:^n C3 is equal to 11:1 find ndot

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  11. There are n married couples at a party. Each person shakes hand with e...

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  12. Twenty-eight games were played in a football tournament with each team...

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  13. In a certain an algebraical exercise book there and 4 examples on a...

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  14. In a network of railways, a small island has 15 stations. Find the ...

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  15. A person tries to form as many different parties as he can, out of his...

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  16. Find the number of ways of selecting 3 pairs from 8 distinct objects.

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  17. Out of 10 consonants and 4 vowels, how many words can be formed each ...

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  18. In how many of the permutations of n thing taken r at a time will thre...

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  19. If ^(22)P(r+1):^(20)P(r+2)=11 : 52 ,find r

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  20. If ^(56)P(r+6):^(54)P(r+3)=30800 :1, find r.

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