Permutations & Combinations — practice questions, page 4
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Count all the different arrangements of the letters of the word KERALA.Digits may repeat. How many 3-digit numbers can be written using the digits 0 to 9?A quiz has 6 questions and each question has 4 options. If a student marks exactly one option for…From the letters of the word PLANETS, Gauri picks 2 vowels and 2 consonants (just a group of…No digit may repeat. How many odd 3-digit numbers can be formed using the digits 1 to 9?Four guests arrive at a hall with 6 chairs in a row. In how many ways can they sit, one guest to a…Sixteen teams enter a knockout tournament; the loser of every match is out. How many matches are…Meera has exactly one coin each of ₹1, ₹2, ₹5 and ₹10. Using one or more of these coins, how many…Three side-by-side stripes of a flag are to be coloured using 5 colours. Neighbouring stripes must…In how many arrangements of the letters of FATHER do the vowels sit in the 2nd and 5th places?The figure shows 5 points on one line and 4 points on another line parallel to it. How many…Without repeating a digit, how many numbers between 3000 and 4000 can be formed from the digits 0,…A shelf holds 3 identical copies of a Hindi book, 4 identical copies of an English book and 2…On the street grid shown, a courier moves only east (right) or north (up) from A to B. How many…Five people sit in a row of 5 seats so that Kiran and Lata occupy the two end seats. How many…Out of 10 students, 3 are girls. A group of 5 is to be chosen with at least one girl. How many…A 4-digit code for a lock uses the digits 1 to 6, all different and written in increasing order.…A car has 6 seats, one of them the driver's seat. Six family members travel in it, and only 2 of…A set of 6 parallel lines is crossed by another set of 5 parallel lines, as in the figure. How…Eight players are to be split into 4 pairs for a doubles badminton practice. In how many ways can…Ten identical pens are given to 4 students; a student may get no pen. In how many ways can the…A committee of 5 is chosen from 5 men and 4 women so that it has at least one man and at least one…Triangles are drawn using the corners of a 10-sided polygon. How many of them share no side with…In how many arrangements of the letters of DAUGHTER are the vowels never all together?How many 4-digit numbers have at least one digit repeated?
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