Permutations and Combinations
A password consists of two letters of alphabet followed by three digits chosen from 0 to 9.Repeats are allowed. How many different possible passwords are allowed
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Number of words formed, with or without meaning, using all the letters of the word EQUATION, using each letter exactly once is x!.Find the value of x.
All the numbers that can be formed using the digits, 1, 2, 3, 4 are arranged in the increasing order in magnitude. The rank of the number 3241 is
The number of ways the letters of the word 'SIGNAL' can be arranged such that the vowels occupy only odd position is
In how many different ways can the letters of the word ′LEADING′ be arranged such that all the consonants are together?
The number of ways of distributing 8 identical balls in 3 distinct boxes so that the none of the boxes is empty is
How many four digit numbers that are divisible by 4 can be formed using the digits 0 to 7 if no digit is to occur more than once in any number?
There are 5 white and 5 black balls marked 1,2,....5. In how many ways can these balls be arranged in a row so that balls of different colours are alternate?
How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?