Find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.
Tatiana [17]
Solution:
we have been asked to find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.
Here we can see
m appears 1 time.
i appears 4 times.
S appears 4 times.
p appears 2 times.
Total number of letters are 11.
we will divide the permutation of total number of letters by the permutation of the number of each kind of letters.
The number of distinguishable permutations![=\frac{11!}{1!2!4!4!} \\](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B11%21%7D%7B1%212%214%214%21%7D%20%5C%5C%20)
Hence the number of distinguishable permutations![=\frac{11!}{1!2!4!4!}=34650 \\](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B11%21%7D%7B1%212%214%214%21%7D%3D34650%20%5C%5C%20)
Answer:
S = 4
Step-by-step explanation:
In a 45-45-90 right triangle, the legs are equal because the angles are equal.
Step-by-step explanation:
play started 16:30
its 115 min long = 1:55 hours
16:30+ 1:55=18:25 hours
now he takes 30 min to reach bus stop
18:25 + 30 mins = 18:55
therefore, he reaches the bus stop 10 mins late