From 5 Consonants And 4 Vowels, How Many Words Can Be Formed Using 3

1.	From 5 Consonants And 4 Vowels, How Many Words Can Be Formed Using 3 Consonants And 2 Vowels ?
Answer» From 5 consonants, 3 consonants can be selected in 5C3 ways. From 4 vowels, 2 vowels can be selected in 4C2ways. Now with EVERY SELECTION, number of ways of ARRANGING 5 LETTERS is 5P5ways. Total number of words = 5C34C25P5= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200. From 5 consonants, 3 consonants can be selected in 5C3 ways. From 4 vowels, 2 vowels can be selected in 4C2ways. Now with every selection, number of ways of arranging 5 letters is 5P5ways. Total number of words = 5C34C25P5= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200.

From 5 Consonants And 4 Vowels, How Many Words Can Be Formed Using 3 Consonants And 2 Vowels ?

Answer»

From 5 consonants, 3 consonants can be selected in 5C3 ways.

From 4 vowels, 2 vowels can be selected in 4C2ways.

Now with EVERY SELECTION, number of ways of ARRANGING 5 LETTERS is 5P5ways.

Total number of words = 5C3*4C2*5P5= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200.

From 5 consonants, 3 consonants can be selected in 5C3 ways.

From 4 vowels, 2 vowels can be selected in 4C2ways.

Now with every selection, number of ways of arranging 5 letters is 5P5ways.

Total number of words = 5C3*4C2*5P5= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200.