Permutations and Combinations
Name the line given in all possible ways, choosing only two letters at time from the four given.
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Evaluate (n−r)!n!, when(i) n=6,r=2.
The number of different matrices that can be formed with elements 0,1,2 or 3, each matrix having 4 elements, is
In how many ways can the letters of the word PERMUTATIONS be arranged if the.i) Words start with P and end with S.ii) vowels are all togetheriii) there are always 4 letters between P and S
The number of ways in which 5 Mathematics, 4 Physics, 2 Chemistry books can be arranged in a shelf if the books on the same subject are kept together.
in how many ways can 10 different beads be arranged to from a necklace so that 4 beads are always a like?
Evaluate (n−r)!n!, when.n=9,r=5.
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?
Find the number of words that can be formed by using all the letters of the word ′DIFFERENTIATION′