How many selections can be made by taking any letters from the words Daddy did a deadly deed?

1919
Show that the total number of selection that can be made out of the letters of the phrase “daddy did a deadly deed” is 1919.

How many permutations of the letters are in the word?

To calculate the amount of permutations of a word, this is as simple as evaluating n! , where n is the amount of letters. A 6-letter word has 6! =6⋅5⋅4⋅3⋅2⋅1=720 different permutations.

How many permutations are there of 4 letters?

There are 4 letters, which is , but each duplicated letter means you divide by the total number of copies of that letter, so you divide . There are 6 permutations.

How many permutations of two numbers are there?

So that means you need to know how many different permutations there are for each combination. If there are two numbers, there are two permutations per combination. Divide the possible permutations by number of permutations per combination: 2450 / 2 = 1225.

Do permutations allow repetition?

Permutations: order matters, repetitions are not allowed.

How many permutations of 3 are there?

There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6.

How many permutations of a four letter word can be formed?

Now, four letter word can be formed in two patterns. Pattern-1: Using three consonants and one vowel. Three consonants can be chosen in (4C3) ways = 4 ways and one vowel can be chosen in (2C1) ways = 2 ways; and the four chosen letters can be permuted in (4!) ways = 24 ways. So, as per Pattern-1; there are (4 * 2 * 24) = 192 permutations.

How many permutations of the 6 letters of Monday are there?

The total number of permutations of 4 different letters chosen from the 6 letters of MONDAY are: 6 P 4 = 6! ( 6 − 4)! = 6! 2! = 6 × 5 × 4 × 3 × 2 2 = 360 The number of permutations if we do not take any vowel (in effect we are left with 4 consonants to choose from) = 4 P 4 = 4! = 24

What is a permutation in math example?

A permutation is an arrangement of all or part of a number of things in a definite order. For example, the permutations of the three letters a, b, c taken all at a time are abc, acb, bac, bca, cba, cab.