Question

Find the probability that in a random arrangement of the letters of the word mathematics the consonants occur together

Answer 1

Answer:

the probability that in a random arrangement of the letters of the word mathematics the consonants occur together = 1/66

Step-by-step explanation:

m a t h e m a t i c s

total alphabet = 11

Consonants = 7

Vowels = 4

Total arrangement = 11 !

Let say whole consonants is a group

then 4 vowel + 1 group of 7 consonants = 5

Arrangement where all consonants together = 5! * 7!

Probability of Consonants occurring together = (5! * 7!)/11!

= (5 * 4 * 3 * 2 * 1 * 7!) /(11 * 10 * 9 * 8 * 7!)

= 120/7920

= 1/66

Answer 2

MARK ME BRAINEST

MARK ME BRAINEST Step-by-step explanation:

YOUR ANSWER IS IN THE PIC. AND BRO REMEMBER TO MARK ME BRAINEST