Question

What is the probability of forming word from the letters of word impeach such that all vowels come together

Answer 1

IEA MPCH

vowel occurs together=5!×3!

=5×4×3×2×1×3×2×1

=120×6

=720

Answer 2

Answer:

720 ways

Step-by-step explanation:

The word is given to be : IMPEACH

Number of vowels in the given word = 3

Now for all the vowels to come together consider all the 3 vowels as one word

Now, total number of letters in the word = 4 + 1 = 5

Number of ways of arranging 5 letters = 5! = 120

Now, the three vowels themselves has 3! ways of arrangement

So, Number of ways of arranging 3 vowels = 3! = 6

Hence, number of ways of forming word from the given word IMPEACH such that all the vowels come together = 120 × 6

                                                                     = 720