Permutations and Combinations
If repetitions are not allowed, the number of four digit numbers divisible by 5 and formed with the digits 0,1,2,3,4,5,6 is
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The number of different 6-digit numbers that can be formed using the three digits 0,1 and 2 is
In how many of the distinct permutations of the letters in MISSISSIPPI do the four I's not come together?
Consider a grid as shown in figure having 8 blocks of dimension 1 x 1. Each block is to be painted with either blue or red colour. In how many ways this can be done if at least one block of dimension 2 x 2 is to be painted red completely?
If the different permutations of all the letter of the words EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?
A batsman scores exactly a century by hitting fours and sixes in twenty consecutive balls. In how many different ways can he do it if some balls may not yield runs and the order of boundaries and Over boundaries are taken into account?
Number of different words that can be forrmed using all the letters of the word "DEEPMALA" If two vowels are togehter and the other two are also together but separated from the first two is-
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?
The number of different words that can be made with the letters of the word PLATE so that there are exactly two letters between the two vowels is ____ .