Question

3 How many different words with two letters can be formed by using the letters of the watt JUNGLE, each containing one vowel and one consonant?​

Answer 1

Answer:

Answer

Correct option is

A

816000

2 vowels out of 5 vowels are selected is

5

C

2

3 consonants out of 17 can be selected is

17

C

3

ways.

the total selection is done in

5

C

2

×

17

C

3

ways

Now, 5 letter in each selection can be arranged in 5! ways.

So, total number of words =

5

C

2

×

17

C

3

×5!=816000

Answer 2

Step-by-step explanation:

2 vowels out of 5 vowels are selected is

5

C

2

3 consonants out of 17 can be selected is

17

C

3

ways.

the total selection is done in

5

C

2

×

17

C

3

ways

Now, 5 letter in each selection can be arranged in 5! ways.

So, total number of words =

5

C

2

×

17

C

3

×5!=816000