NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 36
Total: 41
The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet ?
Solution:
Total no. of vowels in English = 5
Total no. of consonants in English = 21
No. of words with two different vowels & 2 different consonants formed
=
C 2 ×
C 2
×
×
2 vowels & 2 consonants can be arranged in 4! ways.
So the required no. of words = 4! × 2100 = 24 × 2100 = 50400.
Total no. of consonants in English = 21
No. of words with two different vowels & 2 different consonants formed
=
2 vowels & 2 consonants can be arranged in 4! ways.
So the required no. of words = 4! × 2100 = 24 × 2100 = 50400.
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