How many words of 4 consonants and 3 vowels can be formed from 15 consonants and 5 vowels if all letters are different?
Permutation is known as the process of organizing the group, body, or numbers in order, selecting the body or numbers from the set, is known as combinations in such a way that the order of the number does not matter. Show
In mathematics, permutation is also known as the process of organizing a group in which all the members of a group are arranged into some sequence or order. The process of permuting is known as the repositioning of its components if the group is already arranged. Permutations take place, in almost every area of mathematics. They mostly appear when different commands on certain limited sets are considered. Permutation Formula In permutation r things are picked from a group of n things without any replacement. In this order of picking matter.
Combination A combination is a function of selecting the number from a set, such that (not like permutation) the order of choice doesn’t matter. In smaller cases, it is conceivable to count the number of combinations. The combination is known as the merging of n things taken k at a time without repetition. In combination, the order doesn’t matter you can select the items in any order. To those combinations in which re-occurrence is allowed, the terms k-selection or k-combination with replication are frequently used. Combination Formula In combination r things are picked from a set of n things and where the order of picking does not matter.
How many words of 3 vowels and 6 consonants can be formed taken from 5 vowels and 10 consonants?Answer:
Similar Questions Question 1: If 5 vowels and 6 consonants are given, then how many 6 letter words can be formed with 3 vowels and 3 consonants? Answer:
Question 2: How many different words each containing 3 vowels and 5 consonants can be formed with 5 vowels and 19 consonants? Answer:
Question 3: How many different words each containing 2 vowels and 3 consonants can be formed with 5 vowels and 17 consonants? Answer:
Question 4: How many different words each containing 2 vowels and 3 consonants can be formed with 4 vowels and 7 consonants? Answer:
How many words of 4 consonants and 3 vowels can be made from 15 consonants and 5 vowels if all the letters are different?Question: The number of words of 4 consonants and 3 vowels can be made from 15 consonants and 5 vowels, if all the letters are different is ________ D : 15C4 * 5C3 * 7! Correct Answer : 15C4 * 5C3 * 7!
How many words of 4 consonants and 3 vowels can be made?Answer: (2) 756000
= 6C4 x 5C3 x 7! Was this answer helpful?
How many words of 4 consonants and 3 vowels can be made from 10 consonants and 4 vowels if all the letters are different?= 12C4 × 4C3 Each group contains 7 letters, which can be arranging in 7! ways. Therefore required number of words, = 12C4 × 4C3 × 7!
How many words of 4 consonants and 4 vowels can be formed out of 8 consonants and 5 vowels?Detailed Solution
But all these five alphabets can permute among themselves = 5! ∴ The required result will be 40320.
|