Question

how many words can be formed by letter of word Delhi if all vowels come together​

Answer 1

Answer:

The word 'DELHI' contains 5 different letters. Required number of words = Number of arrangements of 5 letters, taken all at a time = 5P5 = 5 ! = (5 *4 *3 *2 *1) = 120.

Answer 2

Answer:

Step-by-step explanation:

DELHI is made up of $5$ different letters. Required number of words = total number of combinations of five letters.

$5P5 = 5 ! = (5\times 4\times 3 \times2 \times1) = 120.$

Permutation definition:

The act of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the elements of a set if the set is already ordered. Nearly all areas of mathematics involve permutations in some form or another. They frequently appear when various orderings on particular finite sets are taken into account.

Combination definition:

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition. The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

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