Permutations and Combinations
The number of odd numbers lying between 40000 and 70000 that can be made from the digits 0,1,2,4,5,7 if digits can be repeated any number of times is
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Consider the word W=TALLENTEX.
The number of n digit numbers such that no two consecutive digits are same is
From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person can not hold more than one position?
A double-decker bus has 5 empty seats in the upstair and 5 empty seats in the downstair. 10 people board the bus of which, 2 are old people and 3 are children. The children refuse to take seats down stair while old people insist to stay down stair. In how many different arrangements can the 10 people take seats in the bus?
How many words with or without dictionary meaning can be formed using all the letters of the word 'JOULE' using each letter exactly once?
We are required to form different words with the help of letter of the word INTEGER. Let m1 be the number of words in which I and N are never together and m2 be the number of words which start with I and end with R, then m1/m2 is given by
The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet?
All letters are used but first letter is a vowel?