Out Of 7 Consonants And 4 Vowels, How Many Words Of 3 Consonants And

1.	Out Of 7 Consonants And 4 Vowels, How Many Words Of 3 Consonants And 2 Vowels Can Be Formed?
Answer» Number of WAYS of selecting (3 consonants out of 7) and (2 VOWELS out of 4) = (7C34C2) = 210. Number of GROUPS, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 120 Required number of ways = (210 x 120) = 25200. Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C34C2) = 210. Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 120 Required number of ways = (210 x 120) = 25200.

Out Of 7 Consonants And 4 Vowels, How Many Words Of 3 Consonants And 2 Vowels Can Be Formed?

Answer»

Number of WAYS of selecting (3 consonants out of 7) and (2 VOWELS out of 4) = (7C3*4C2)

= 210.

Number of GROUPS, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.

Number of ways of arranging 5 letters among themselves = 5! = 120

Required number of ways = (210 x 120) = 25200.

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3*4C2)

= 210.

Number of groups, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.

Number of ways of arranging 5 letters among themselves = 5! = 120

Required number of ways = (210 x 120) = 25200.