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  • Question
  • If there are 15 dots on a circle,how many triangles can be formed?


  • Options
  • A. 455
  • B. 450
  • C. 469
  • D. 500

  • Correct Answer
  • 455 

    Explanation

    There are 15 dots in total,and to make a triangle we need to select any three of those dots.

     

    So, 15 C 3  = 455


  • Permutation and Combination problems


    Search Results


    • 1. A polygon 7 sides.How many diagonals can be formed?

    • Options
    • A. 14
    • B. 7
    • C. 15
    • D. 21
    • Discuss
    • 2. How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

    • Options
    • A. 1000
    • B. 100
    • C. 500
    • D. 999
    • Discuss
    • 3. There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairytales, novels and plays ?

    • Options
    • A. 12400
    • B. 17820
    • C. 17280
    • D. 12460
    • Discuss
    • 4. In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is

    • Options
    • A. 20
    • B. 160
    • C. 164
    • D. 220
    • Discuss
    • 5. From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

    • Options
    • A. 427
    • B. 531
    • C. 651
    • D. 714
    • Discuss
    • 6. When six fairs coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads ?

    • Options
    • A. 15
    • B. 42
    • C. 16
    • D. 40
    • Discuss
    • 7. There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person?

    • Options
    • A. 70
    • B. 40
    • C. 72
    • D. 80
    • Discuss
    • 8. If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

    • Options
    • A. 108
    • B. 117
    • C. 810
    • D. 180
    • Discuss
    • 9. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ?

    • Options
    • A. 5040
    • B. 2525
    • C. 2052
    • D. 4521
    • Discuss
    • 10. In how many ways can the letters of the word 'LEADER' be arranged ?

    • Options
    • A. 360
    • B. 420
    • C. 576
    • D. 220
    • Discuss


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