A man has 3 sons and 6 schools within his reach. In how many ways, he can send them to school, if no two of his sons are to read in the same school?
If 13C6 + 2 13C5 + 13C4 = 15Cx then, x = _________.
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If six times the number of permutations of n items taken 3 at a time is equal to seven times the number of permutation of (n-1) items taken 3 at a time, then the value of n will be:
The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is:
If 1000C98 = 999C97 + xc901 , then the value of x will be:
Number of ways of shaking hands in a group of 10 persons shaking hands to each other are:
If 15C3r = 15Cr+3, then r is equal is
If six times the number of permutations of n items taken 3 at a time is equal to seven times the number of permutation of (n-1) items taken 3 at a time, then the value of n will be:
The ways of selecting 4 letters from the word EXAMINATION is
The letters of the word "VIOLENT" are arranged so that the vowels occupy even place only. The number of permutations is ______.
How many permutations can be formed from the letters of the word " DRAUGHT" if both vowels may not be separated?
If nP4 = 20 (nP2) then the value of n is ______________.
A polygon has 44 diagonals then the number of its sides are:
How many different words can be formed with the letters of the word "LIBERTY"
You have to make a choice of 4 balls out of one red one blue and ten white balls. The numbers of ways in which this can be done to include the red ball but exclude the blue ball always is ________.
You have to make a choice of 4 balls out of one red one blue and ten white balls. The numbers of ways this can be done to always include the red ball is _______.
In a cross word puzzle 20 words are to be guessed of which 8 words have each an alternative solution. The number of possible solution is ________.
How many combinations can be formed of eight counters marked 1, 2, 3, 4, 5, 6, 7, 8 taking them 4 at a time, there being at least one odd and one even counter in each combination?
Find the number of ways in which a selection of four letters can be made from the letters of the word 'PROPORTION,
Out of 6 members belonging to party A and 4 to party B in how many ways a committee of 5 can be selected so that members of party A are in majority?
A team of 5 is to be selected from 8 boys and three girls. Find the probability that it includes two particular girls.
You have to make a choice of 4 balls out of one red one blue and ten white balls. The number of ways in which this can be done to exclude both the red and blues ball is ________.
The number of words which can be formed with 2 different consonants and 1 vowel out of 7 different consonants and 3 different vowels the vowel to lie between 2 consonants is _________.
A question paper divided into two groups consisting of 3 and 4 questions respectively carries the note “It is not necessary to answer all the questions. One question must be answered from each group”. In how many ways you can select these questions?
The number of ways in which four letters of the word MATHEMATICS can be arranged is given by:
Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.
In how many ways 3 prizes out of 5 can be distributed amongst 3 brothers Equally?
In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females?
In how many ways 21 red balls and 19 blue balls can be arranged in a row so that no two blue balls are together?
In forming a committee of 5 out of 5 males and 6 females how many choices you have to made so that there are 3 males and 2 females? How many choices you have to make if there are 2 males?