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Suppose that 4 prizes are distributed am...

Suppose that 4 prizes are distributed among 5 students Find the number of distributions so that no student gets more than one prize.

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Suppose that 4 prizes are distributed among 5 students Find the number of distributions so that no student gets all the prizes.

Suppose that 4 prizes are distributed among 5 students Find the number of distributions so that a student may get any number of prizes.

Given the digits 0,1,2,3,4, 5,6,7, 8,9 Suppose Raju is asked to form 5 - digit telephone numbers using the given digits so that no digit appears more than once. If each number ends in 89, find the number of telephone numbers constructed by Raju

On Arts day,180 sweets were distributed equally among the students. Tasting one sweet Deepa said,“It is a pity that 9 of our friends are absent today.” Hearing this Deepu said “Because of that we got one sweet more”: Find out the total number of students.

On Arts day,180 sweets were distributed equally among the students. Tasting one sweet Deepa said,“It is a pity that 9 of our friends are absent today.” Hearing this Deepu said “Because of that we got one sweet more”: How many students were present on that?

A class consists of 40 girls and 60 boys. In how many ways can a president, vice president, treasurer and secretary be chosen if the treasurer must be girl, the secretary must be a boy and a student may not hold more than one office.

Consider the number 2751. The sum of its digital is 2+7+5+1=15 . Adding the digits of 15 we get 1+5=6 . This number 6 is called the 'digital root' of the number 2751. That is, to find the digital root of a number, find the sum of its digits (Don't forget to find the sum of the digits again, if the first sum has more than one digit) Let us see one more example. The sum of the digits of the numbe 679412 is 6+7+9+4+1+2=29 . Sum of digits of 29=2+9=11 . Sum of digits of 11=1+1=2 . Therefore the digital root of 679412 is 2 . Digital roots have an interesting property. To see this, consider the product 43times27=1161 . The digital roots of the numbers 43 and 27 are 4+3=7 and 2+7=9 . Product of the digital roots= 7times9=63 . Digital root of 63=6+3=9 . The Digital root of 1161 is also 9(1+1+6+1=9) that is the digital root of 1161=The digital root of 63 , where 63 is the product of the digital roots of 43 and 27. This property is true for all other natural numbers. The digital root of the number 63square5 is 8 (square represents a missing digit). Find the missing digit.

A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Suppose that the different permutations of the word ‘EXAMINATION’ are ...

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  2. Suppose that the different permutations of the word ‘EXAMINATION’ are ...

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  3. Suppose that 4 prizes are distributed among 5 students Find the number...

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  4. Suppose that 4 prizes are distributed among 5 students Find the number...

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  5. Suppose that 4 prizes are distributed among 5 students Find the number...

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  6. There are 20 persons, among whom two are brothers. Find the number of ...

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  7. There are 20 persons, among whom two are brothers. Find the number of ...

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  8. There are 20 persons, among whom two are brothers. Find the number of ...

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  9. Suppose that 5 persons A, B, C, D and E sit around a circular table In...

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  10. Suppose that 5 persons A, B, C, D and E sit around a circular table In...

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  11. 10 persons are invited for a party In how many ways can they and the ...

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  12. 10 persons are invited for a party. In how many ways will two particu...

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  13. Evaluate the following ^14C3

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  14. Evaluate the following ^12C10

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  15. Evaluate the following ^(n+1)Cn

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  16. If ^nC10=^nC12 find ^23Cn

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  17. If ^npr=720 and ^nCr=120 find r

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  18. It was found at a certain dinner meeting that after every member had s...

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  19. In how many ways a committee of 5 members can be selected from 6 men a...

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  20. If m parallel lines in plane are intersected by a family of n parallel...

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