Permutations And Combinations

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. means arrangement of things.
2. means selection of things.
3. How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3?
4. The number of words that can be formed by re-arranging the letters of the word APURBA so that vowels and consonants are alternative is .
5. The number of words that can be formed out of the letters of the words "ARTICLE" so that vowels occupy even places is .
6. There are 12 points in a plane. The number of the straight lines joining any two of them when 3 of them are collinear, is .
7. The number of diagonals that can be drawn by joining the vertices of an octagon is .
8. Among 14 players, 5 are bowlers. In how many ways a team of 11 may be formed with a least 4 bowlers?
9. If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is .
10. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of 3 parallel lines is .