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Permutations & Combinations - Coggle Diagram
Permutations & Combinations
Permutation - Formula
From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?
Permutation when all objects are not distinct
Find the number of
permutations
of the letter of the word ALLAHABAD
Formula
How many numbers lying between 100 and 1000 can be formed with the digits 0,1,2,3,4,5, if the repetition of the digits is not allowed?
Find the number of different 8 - letter
arrangements
than can be made from the letters of the word DAUGHTER so that
a. all vowels occur together
b. all vowels do not occur together
In how many of the
distinct
permutations of the letter in MISSISSIPPI do the four I's not come together?
Fundamental principle of counting
A coin is tossed and the outcome is recorded. How many possible outcomes are there?
Box method
Find the number of different signals that can be generated by arranging at-least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.
How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming that
repetition of digit is allowed
?
repetition of digit is not allowed
?
How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number
starts with 67
and
no digit appears more than once
?
Given 4 flags of different colors, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?
How many 3 digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be
repeated
?
Combinations
A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?
What is the number of ways of
choosing
four cards from a pack of 52 playing cards? In how many of these
four cards are of the same suit.
four cards belong to four different suits
are face cards
two are red cards and two are black cards
cards are of the same colour
Dictionary
Find the number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary. What will be the 50th word?