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Statement 1: Number of ways in which 30 ...

Statement 1: Number of ways in which 30 can be partitioned into three unequal parts, each part being a natural number is 61. Statement 2; Number of ways of distributing 30 identical objects in three different boxes is `^30 C_2dot`

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Statement 1: Total number of five-digit numbers having all differen...

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  2. Find the number of ways of dividing 52 cards among four players equ...

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  3. Statement 1: Number of ways in which 30 can be partitioned into thr...

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  4. Find the number of ways in which the number 300300 can be split into ...

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  5. The number of words of four letters that can be formed from the let...

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  6. Find the number of ways in which 8 non-identical apples can be dist...

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  7. The number of ways in which the letters of the word PERSON can plac...

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  8. Find the number of ways to give 16 different things to three persons A...

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  9. There are two bags each of which contains n balls. A man has to selec...

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  10. Find the total number of proper factors of the number 35700. Also find...

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  11. In how many ways can a team of 6 horses be selected out of a stud o...

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  12. There are 3 books of mathematics, 4 of science, and 5 of literature. ...

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  13. Number of ways in which a lawn-tennis mixed double be made from sev...

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  14. Find the number of divisors of the number N=2^3 .3^5 .5^7 .7^9 which a...

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  15. A teacher takes three children from her class to a zoo at a time, bu...

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  16. Find the number of ways in which the number 94864 can be resolved as a...

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  17. A class contains three girls and four boys. Every Saturday, five go...

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  18. Show that 1!+2!+3!++n ! cannot be a perfect square for any n in N ,ng...

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  19. If all the words formed from the letters of the word HORROR are arra...

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  20. Prove that: ((2n)!)/(n !)={1. 3. 5..... (2n-1)}2^ndot

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