EASY
JEE Main
IMPORTANT
Earn 100

Find the number of arrangements that can be made out the letters of the words
(1) Independence
(2) Superstitious
(3) Institutions.

Important Questions on Permutations and Combinations

EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 2
In how many ways can 17 billiard balls be arranged if 7 of them are black, 6 red and 4 white?
EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 3
A room is to be decorated with fourteen flags, if two of them are blue, 3 red, 2 white, 3 green, 2 yellow and 2 purple, in how many ways they be hung?
MEDIUM
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 4
How many numbers greater than a million can be formed with the digits 2, 3, 0, 3, 4, 2, 3?
EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 5
Find the number of arrangements which can be made out of the letters of the word ALGEBRA without altering the relative positions of vowels and consonant?
EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 6
On three different days, a man has to drive to a railway station, and he can choose from 5 conveyances. In how many ways can he make the three journeys?
MEDIUM
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 7
I have counters of n different colours, red, white, blue, and so on. In how many ways can I make an arrangement consisting of r counters, supposing that there are at least r counters of each different colour?
EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 8

In a steamer, there are stalls for 12 animals and there are cows, horses and calves (not less than 12 each ) ready to be shipped. Find the number of ways in which shipload can be made?

EASY
JEE Main
IMPORTANT
Higher Algebra>Chapter 11 - Permutations and Combinations>EXAMPLES. XI. b.>Q 9
In how many ways can n things be given to p persons, when there is no restriction as to the number of things each may receive?