Question

Find the probability that in a random arrangement of letters of the word MATHEMATICS,the consonants occur together.

Answer 1

Answer:11 / 7

Step-by-step explanation:

total no of observations  ;  M A T H E M A T I C S  

                                           ; 11

number of favourable outcomes  ;  M T H M T C S

                                                          ; 7

PROBABILITY OF GETTING CONSONANTS  ; NO OF OBSERVATIONS  /                                                          FAVOURABLE OUTCOMES

                          P (X) = 11 /7

Answer 2

Answer:

consonants = 7 ( 2 is common)

vowels = 4 ( 1 is common )

✿ consonants is a group of 7 so = 7!

✿ vowels 4+1 consonants = 5!

Answer = 7!×5!/2!×2!×2!

= 75600

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