Expresswala Academy Mathematics Tuition

Class 11

Counting Principle and Permutations, Quiz

Five questions on the counting principle, factorials and permutations. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. A student has 44 shirts, 33 pairs of trousers and 22 pairs of shoes. How many different outfits can be made?
  2. In how many ways can first, second and third prizes go to 33 of 77 runners?
  3. Evaluate 10!8!\displaystyle \dfrac{10!}{8!}.
  4. How many distinct arrangements are there of the letters of BANANA?
  5. How many 33-digit odd numbers can be formed from 2,3,4,6,82, 3, 4, 6, 8 without repeating a digit?
Unanswered questions are marked wrong.

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