AMC 8 Practice Problems of Permutations and Combinations for October 2021

  1. How many ways can you buy 8 fruits if your options are apples, bananas, pears and oranges?
  2. How many ways can you give 10 cookies to 4 friends if each friends gets at least 1 cookie?
  3. A person 12 friends out of which 7 are relatives. In how many can he invite 6 friends such that at least 4 of them are relatives.
  4. An ATM Password is composed of four digits from 0 to 9, with repeated digits allowable. If no password may begin with the sequence 9, 1, 1 then how many passwords are possible?
  5. How many 3 digit numbers are there with digit repeated?
  6. In how many of distinct permutations of the letters in MISSISSIPPI do the four S’s not come together?
  7. A box contains 6 black and 5 red balls. Determine the number of ways in which 3 black and 3 red balls can be selected.
  8. In how many ways can a student choose a programme of 6 courses if 10 courses are available and 3 specific courses are compulsory for every student.

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