If the letters of the word attempt are written down at random, fi nd the probability that all the ts are together.If the letters of the word attempt are written down at random, fi nd the probability that all the ts are together.
Answers
there are 3 t and 4 others
total arrangement = 7×6×5×4×3×2×1/(3×2×1)
=7×6×5×4
=840
suppose all t are together means just we take single t
so now arrangement =5×4×3×2×1=120
probability = 120/840
=1/7
1/7 is the Probability that all the T's are together
Step-by-step explanation:
ATTEMPT
has 7 Letters
A is repeated 3 Times
Number of words can be formed = 7!/3!
= 840
if all T's comes together
then TTT can be taken as 1 , A , E , M P 4 letters
Hence total 5 Letters
Number of Words can be formed = 5! = 120
Probability that all the T's are together = 120/840
= 1/7
1/7 is the Probability that all the T's are together
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