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In an election there are 7 candidates a...

In an election there are 7 candidates and 4 members are to be elected and a voter is entitled to vote any number to be elected . In how many ways may a voter choose his vote ?

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At an election there are 5 candidates and 3 members are to be elected and a voter is entitled to vote for any number to be elected . In how many ways a voter choose his vote ?

In an election, the number of candidates exceeds the number to be elected by 2. A man can vote in 56 ways. Find the number of candidates.

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At an election a voter may vote for any number of candidates not greater than the number of candidates to be chosen there are 10 candidates and 5 members are to chosen the number of ways in which a voter may vote at a least one candidate is given by

A man has 7 relatives ,4 of them are ladies and 3 are gentlemen , his wife has also 7 relatives , 3 of them are ladies and 4 are gentlemen . In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of the man 's relative and 3 of the wife 's relative ?

In an election the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote be 62, find the number of candidates.

There are 3 sections in a question paper each containing 5 questions. A candidate has to solve only 5 questions, choosing at least one question from each section. In how many ways can he make his choice ?

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For an examination a candidate has to select 7 subjects from 3 different groups A,B,C which contain 4,5,6 subjects respectively in how many different ways can a candidate make his selection if he has to select at least 2 subjects from each group?

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl ?

CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Short Answer Type Questions )
  1. m men and n women are to be seated in a row that no two women sit tog...

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  2. Eight prizes are to be distributed by a lottery . The first participa...

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  3. In an election there are 7 candidates and 4 members are to be elected...

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  4. In a plane there are 10 points out of which no three are collinear exc...

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  5. If 20 straight lines be drawn in a plane , no two of them being parall...

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  6. If 10 parallel lines in a plane are intersected by a family of anothe...

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  7. There are 15 points in a plane of which 4 points lie in one stright li...

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  8. Show that in the number of combinations of 2n different things taken n...

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  9. How many different numbers of 6 digits each (without repetition of dig...

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  10. If the number of combinations of n different things taken (r+r) at a t...

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  11. In how many ways can a person contribute to a charitabe fund out of 10...

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  12. Find the number of factors of 37800 .

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  13. Find the number of different factors of 3528 which are greater than 1 ...

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  14. Eight questions are given , each question has an alternative Prove tha...

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  15. Prove that the total number of selections that can be made out of the ...

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  16. In how many different ways ten 10 paise and five 5- paise coins can be...

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  17. From 10 boys and 6 girls , how many different selections can be made s...

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  18. The results (win , loss or draw ) of 10 fooball matches are to be pred...

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  19. If the ratio of the total number of combinations of 2n different thing...

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  20. In how many ways can one or more fruits be selected from 4 apples ,5 o...

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