हिंदी

Write the Total Number of Words Formed by 2 Vowels and 3 Consonants Taken from 4 Vowels and 5 Consonants.

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प्रश्न

Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.

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उत्तर

2 out of 4 vowels and 3 out of 5 consonants can be chosen in

\[{}^4 C_2 \times {}^5 C_3\]ways.
The total number of letters is 5. These letters can be arranged in 5! ways.
∴ Total number of words = \[{}^4 C_2 \times {}^5 C_3 \times 5!\]
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Factorial N (N!) Permutations and Combinations
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अध्याय 17: Combinations - Exercise 17.4 [पृष्ठ २४]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 17 Combinations
Exercise 17.4 | Q 11 | पृष्ठ २४

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