A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to
1 answer:
Answer: B) 4536
Step-by-step explanation:
Given : A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0.
i.e. The number of choices for first digit = 9 (Total digits = 1)
The number of choices for second digit = 9 (one get fixed in first place and 0 can be used)
Similarly, The number of choices for third digit = 8 ( two got fixed on 1st and second place)
The number of choices for fourth digit = 7 (Three places are fixed.)
By Fundamental counting principle ,
The number of different identification numbers are possible =
The number of different identification numbers are possible is 4536.
Therefore , the correct answer is (B) 4,536.
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The values which completes the table regarding summer camp is option b which is a=15,b=7, c=5, d=10, e=12.
Given that there are 32 campers, 22 of them can swim, 20 play softball and 5 do not play softball or swim.
We have to find the values of a,b,c,d,e so that we can complete the table.
Table is a combination of rows and columns. In our case the third row and third column shows the total.
from the table we can write that 22+d=32-----------1
so d=32-22
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d=10
c+5=d-----------2
c=10-5=5
c=5
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a+5=20
a=20-5
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b=7
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e=32-22
e=10.
Hence the values which completes the table is a=15,b=7, c=5, d=10, e=12.
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Question is incomplete as it should include figure showing table of values.
Answer:
Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form .
Given:
Let be it's solution.
We get,
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{ we know that for equation , roots are of form
}
We get,
For two complex roots , the general solution is of form
i.e
Applying conditions y(0)=1 on ,
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Therefore,