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How many triangles can be formed by joining the angular points of a decagon ? How many diagonals will it have ?

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PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. An examine is required to answer 6 questions out of 12 questions which...

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  2. Find the number of permutations of the letters of the words 'FORECAST'...

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  3. How many triangles can be formed by joining the angular points of a de...

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  4. Show that 1+^1P1+2.^2P2+3.^3P3+....+n.^nPn=^(n+1)P(n+1).

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  5. Out of 14 articles, 10 are of the same type and each of the remaining ...

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  6. Find the rank of the word 'MAKE' when its letters are arranged as in a...

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  7. Find the number of ways in which the letters of the word 'INTERMEDIATE...

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  8. How many seven-digit numbers are there, the sum of whose digit is even...

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  9. How many five-digit telephone numbers are there, the sum of whose digi...

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  10. How many 4 digit numbers can be formed from the digits 1, 1, 2, 2, 3, ...

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  11. Find the number of students to be selected at a time from a group of 1...

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  12. Find the sum of the five digit numbers formed by the digits 2, 3, 4, 5...

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  13. A boat has a crew of 8 men of which 2 can row only on one side and onl...

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  14. Show that the total number of selection that can be made out of the le...

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  15. A committee of 5 is to be formed from 9 women and 8 men. if the commit...

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  16. A 5-digit number is divisible by 3 and it is formed by using 0, 1, 2, ...

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  17. Find the number of (i) Combination (ii) Permutation of the letters of...

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  18. Find the number of ways in which a selection of four letters can be ma...

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  19. Find the word in 50th position in the dictionary when the letters of t...

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  20. How many ways n distinct objects be placed in 2 different boxes so tha...

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