Permutations and Combinations
What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which lie on the same straight line?
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There are unlimited number of identical balls of four different colors. How many arrangements of at most 8 balls in a row can be made by using them?
How many words can be formed from the letters of the word 'LAUGHTER' so that the vowels are never together?
How many numbers lying between 100 and 1000 can be formed with the digits 1,2,3,4,5, if the repetition of digits is not allowed?
Consider the name of a baby girl 'HARSHITA'. New names are formed (with or without meaning) by using all the letters of the given word.On the basis of above information, answer the following question. Number of words in which vowels occupy even places.
Is 3!+4!=7! ?
How many numbers can be made with the digits 3,4,5,6,7,8 lying between 3000 and 4000, which are divisible by 5 while repetition of any digit is not allowed in any number?
Five - digit numbers divisible by 3 are formed using 0, 1, 2, 3, 4, 5 without repetition. The total number of such numbers is :