Permutations & Combinations — practice questions, page 8
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QuestionHow many 3-digit numbers have 7 as their units digit?QuestionA student picks 5 of 8 elective courses, and 2 particular courses are compulsory for her. How many…QuestionThree-letter codes with no letter repeated are made from the 26 English letters, and every code…QuestionSix different beads are threaded in a straight line, and the red bead must not be at either end.…QuestionThree boys and three girls stand in a row with a girl at each end. How many arrangements are…QuestionFour different Hindi books and three different English books are arranged on a shelf so that all…QuestionHow many odd positive divisors does 2160 have?QuestionDigits may repeat. How many 4-digit numbers are divisible by 5?QuestionHow many arrangements of the letters of PROPORTION are possible?QuestionFrom 6 boys and 4 girls, 4 children are chosen so that there are more girls than boys. How many…QuestionEight lamps stand in a row. Exactly 3 are to be switched on so that no two lit lamps are next to…QuestionFour flags of different colours are available. A signal uses at least 2 of them hoisted one above…QuestionIn how many arrangements of the letters of SUNDAY is S not in the first place?QuestionHow many 3-digit numbers contain at least one 0 among their digits?QuestionNeel climbs a staircase of 6 steps, taking either 1 step or 2 steps at a time. In how many…QuestionA squad of 5 is picked from 4 batters, 3 bowlers and 2 wicket-keepers. It must have exactly one…QuestionUsing all the digits 2, 3, 0, 3, 4, 2, 3, how many numbers greater than one million can be formed?QuestionThree rooks are placed on the 5 × 5 board shown so that no two are in the same row or column. In…QuestionIn how many arrangements of the letters of ALGEBRA do the vowels occupy only the even places (2nd,…QuestionHow many 3-digit numbers have digits that never decrease from left to right (for example 112 or…QuestionFour corners of the regular octagon shown are chosen. In how many ways do they form a rectangle?QuestionSix friends split into two teams of 3 for a game of kabaddi practice. The teams have no names. In…QuestionFive people, including Asha and Babu, stand in a queue. In how many queues is Asha somewhere ahead…QuestionHow many positive divisors of 10800 are perfect squares?QuestionFour-letter codes are made from the 26 English letters. How many codes have at least one letter…
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