Permutations & Combinations — practice questions, page 6
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QuestionEight scouts sit around a campfire. Seatings that differ only by everyone moving round are the…QuestionA game spinner has 8 equal sectors numbered 1 to 8. It is spun 3 times and the results are written…QuestionAmong all arrangements of the letters of PATNA, how many begin with P?QuestionBy how much does the number of diagonals of a 12-sided polygon exceed its number of sides?QuestionRavi has 4 different maths books and 3 different science books. He takes 2 books of different…QuestionRiya has 4 close friends. She wants to take two or more of them to a movie. How many groups can…QuestionTwo dice are thrown, one white and one black. In how many outcomes do they show different numbers?QuestionRahul invites exactly 4 of his 6 friends to dinner. Two of the friends are twins who will come…QuestionUsing the digits 0, 1, 2, 3, 4 and 5, with no digit repeated, how many 3-digit numbers divisible…QuestionThree different maths books and two different physics books are put on a shelf so that books of…QuestionNine different toys are shared so that Anu gets 4, Babu gets 3 and Chiku gets 2. In how many ways…QuestionFrom a group of 8 volunteers, a team of 3 is formed and one team member is named the leader. How…QuestionSix different flowers are strung into a garland. A garland looks the same when turned over. How…QuestionFour boys and three girls sit in a row so that all the boys sit together and all the girls sit…QuestionHow many whole numbers from 1 to 100 do not contain the digit 3?QuestionSeven people are to be chosen as a group of 3: there are 4 Indians and 3 Japanese, and the group…QuestionIn how many arrangements of the letters of PENCIL is N always immediately next to E (either side)?QuestionHow many 3-digit numbers have exactly two of their digits equal?QuestionHow many 5-digit numbers have digits that strictly decrease from left to right (like 97420)?QuestionFive letters are put into their five addressed envelopes at random. In how many ways do exactly 2…QuestionAn exam has 10 questions and Kunal must answer 7, including at least 3 of the first 5. How many…QuestionThree married couples sit at a round table so that every husband sits next to his wife. How many…QuestionTwelve different books are split into three piles of 3, 4 and 5 books. In how many ways can this…QuestionHow many solutions does a+b+c+d=20 have if each of a, b, c, d is a whole number at least 3?QuestionRoll numbers in a class run from 1 to 50. For a pair activity, the class monitor wants two…
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