Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ
⁵P₃
⁵P₃
⁵P₃
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:
Answer:
Option 2 is correct.
Step-by-step explanation:
See the given figure.
Here triangle MTU is a right triangle.
Hence, applying Pythagoras theorem,
TU² = TM² - MU² = 6² - 3² = 27 ....... (1)
Now, triangle NTU is also a right triangle.
Hence, NT² = TU² + NU² = 27 + 9² = 108
So, NT = √108 = 6√3
Therefore, option 2 is correct. (Answer)
Answer:
8
Step-by-step explanation:
There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.
There are 2 ways he wrote it: French and English
4*2=8
He wrote his name in 8 different ways.
34
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Answer:
hello gahg1e, great question.
Step-by-step explanation:
ireland imersive internet in igloos interstellar... country of ...n.