Permutations & Combinations — practice questions, page 3
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A committee of 6 is chosen from 7 men and 4 women. It must have at least 2 women, and more men…Five letters are put into five addressed envelopes. In how many ways can this be done so that no…Four married couples stand in a row for a photo so that every husband stands next to his wife. How…Fourteen points lie in a plane; exactly 6 of them are on one straight line and no other three are…How many 3-digit numbers have digits that strictly increase from left to right (for example 147)?Seven people sit around a round table. In how many seatings are Anil and Bharat NOT next to each…Words are formed from the letters of EQUATION using 3 vowels and 2 consonants, with no letter used…All arrangements of the letters of SACHIN are listed in dictionary order. At which position does…Using each of the digits 0, 1, 2, 3, 4 and 5 exactly once, how many 6-digit numbers divisible by 4…Fifteen identical chocolates are shared among 4 children so that each child gets at least 2. In…Six boys and four girls stand in a row so that no two girls are next to each other. How many…In the grid shown, you move only right or up along the lines from A to B. The crossing marked X is…Three different numbers are chosen from 1, 2, 3, …, 20. In how many ways can they be chosen so…Find the sum of all 3-digit numbers that can be formed using the digits 1, 3 and 5, each used…How many whole numbers from 1 to 1000 contain the digit 7 at least once?Twelve students are to be split into 3 study groups of 4 each, the groups having no names. In how…How many rectangles of all sizes, squares included, can be drawn along the lines of an 8 × 8…Using digits 0 to 9 with no digit repeated, how many 4-digit numbers are divisible by 5?Rohan can go from Pune to Mumbai by any one of 4 different buses, 3 different trains or 2…Three different rings are to be worn on 4 fingers of one hand, with at most one ring on any…A ship's signal is made by hoisting 3 flags, one above the other, chosen from 5 different flags.…Letters may repeat. How many 3-letter codes can be formed from the 26 letters of the English…On Diwali, each of 5 friends sends one greeting card to every other friend in the group. How many…The mess committee of a hostel has 8 students. A head, a deputy and a cashier are to be picked…A hall has 4 doors. In how many ways can a person enter by one door and leave by a different door?
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