What is an example of permutations and combinations?

Give examples of permutations and combinations. The example of permutations is the number of 2 letter words which can be formed by using the letters in a word say, GREAT; 5P_2 = 5!/(5-2)! The example of combinations is in how many combinations we can write the words using the vowels of word GREAT; 5C_2 =5!/[2!

How to write a recursive function that print distinct permutations?

Approach: Write a recursive function that print distinct permutations. Make a boolean array of size ’26’ which accounts the character being used. If the character has not been used then the recursive call will take place.

What is the process of permuting a set?

In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered.

How many words in which Consonants occupy 4 odd places?

The consonants can be arranged in these 4 odd places in 4 P 3 ways. Remaining 3 even places (2, 4, 6) are to be occupied by the 4 vowels. This can be done in 4 P 3 ways. So, the total number of words in which consonants occupy odd places = 4 P 3 × 4 P 3

How many permutations are possible with 3 vowels and 4 consonants?

Writing in the following way makes it easier to solve these type of questions. No. of ways 3 vowels can occur in 4 different places = 4 P 3 = 24 ways. After 3 vowels take 3 places, no. of ways 4 consonants can take 4 places = 4 P 4 = 4! = 24 ways. Therefore, total number of permutations possible = 24*24 = 576 ways.

What is the factorial of a problem in permutations?

The same rule applies while solving any problem in Permutations. The number of ways in which n things can be arranged, taken all at a time, n P n = n!, called ‘n factorial.’ Factorial of a number n is defined as the product of all the numbers from n to 1. For example, the factorial of 5, 5! = 5*4*3*2*1 = 120.