Question

find the number of ways of selection of at least one vowel and at least one consonant from the word

"TRIPLE"​

Answer 1

$\huge\star{\tt{\underline{\underline{\red{Answer}}}}}\star$

$\huge{\boxed{\boxed{\tt{\blue{TRIPLE}}}}}$

${\boxed{\mathbb{Formula}}}$ 2ⁿ-1

$\large{\underline{\tt{\green{vowels \implies I \: E }}}}$ = 2²-1

=3

$\large{\underline{\tt{\green{Consonant \implies\: T \:R \:P\:L}}}}$=2⁴-1

=15

$\implies$15 x 3

${\boxed{\boxed{45}}}$

Answer 2

$\huge\underline\mathfrak\green{Answer}$

Formula = 2^n - 1

Vowels = 2² - 1 = 4 - 1 = 3

Consonant = 2^4 - 1 = 16 - 1 = 15 × 3 = 45

Thank you! ❤