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Quiz: Permutations and Combinations

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Number of Questions: 40

Question: 16 -

How many combinations are possible while selecting four letters from the word ‘SMOKEJACK’ with the condition that ‘J’ must appear in it?

Options:

  1. 3!/2!

  2. 41

  3. 8!/2!

  4. 81

    5. Answer:

    41
    Solution:

    permutation combination

Question: 17 -

17 students are present in a class. In how many ways, can they be made to stand in 2 circles of 8 and 9 students?

Options:

  1. 17C8 x 8! X 9!

  2. 17C9 x 8! X 7!

  3. 17C9 x 9! X 8!

  4. 8! X 7!

    5. Answer:

    17C9 x 8! X 7!
    Solution:

    permutation and combination

Question: 18 -

In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?

Options:

  1. 72

  2. 36

  3. 9!-1

  4. 9!

    5. Answer:

    36
    Solution:

    permutation combination

Question: 19 -

In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?

Options:

  1. 64

  2. 3

  3. 84

  4. 30

    5. Answer:

    64
    Solution:

    permutation combination

Question: 20 -

On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?

Options:

  1. 760

  2. 190

  3. 72

  4. 380

    5. Answer:

    380
    Solution:

    permutation and combination