Question

67. In question No.(60) how many of them have arrangements that consonants and vowels
are always together?
(a) 8! - 4! x 5! (b) ⓇP,*5!
(c) 2! x 5! 3!
(d) *P 5!​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

The word

′′

TRIANGLE

′′

has 8 letters of which 3 are vowels.

∴ Total words=8!=8×7×6×5×4×3×2×1=40320

No. of words in which two vowels are together. We select two vowels and then tie them together so that we can effectively left with 7 letters and also we need to take care of internal arrangement of two vowels.

∴No. of words in which two vowels are together=3C

2

×7!×2!=3×7×6×5×4×3×2×1×2=30240

But, we need to include words in which three vowels are together.

∴No. of words in which three vowels are together=3C

3

×6!×3!=4320

∴Required no. of words =40320−30240+4320=14400

Answer 2

Answer:

Answer of this question is 14400