Answer:
14694
Step-by-step explanation:
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:
1<span>: </span>1-10<span>, </span>2<span>-9, </span>3-8<span>, 4-7, 5-6. Rd </span>2<span>: ... 9-5, </span>1<span>-4, </span>2<span>-3. Rd 5: </span>3-10, 4-2, 5-1<span>, 6-9, </span>7-8. ... Rd 6: 12-9, 10<span>-8, 11-7, </span>1<span>-6, </span>2<span>-5, </span>3-4. Rd 7: 4-12, 5-3, 6-2, 7-1, 8<span>-11, </span>9-10<span>. Rd 8: 12-10, 11-9, </span>1-8<span>, </span>2<span>-7, 3-6, 4-5. ... </span>7-8<span>. Rd </span>2: 14-8, 9-7, 10<span>-6, 11-5, 12-4, 13-3, </span>1-2<span>.</span>