This question has to do with permutations. A permutation is used to find the number of possible outcomes, assuming order matters. In this case, n=9 and r=6. This is written as $_{9}P_{6}$ which equals $\frac{9!}{(9-6)!}$ . Then, plug this into a calculator to get 60480.

4 0

2 years ago

Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other num

ruslelena [56]

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

8 0

2 years ago

Simplification <br>-4a+b+3c+3a-3b+c

damaskus [11]

Answer:

-a+-2b+4c

Step-by-step explanation:

Combine like terms

-4a+ 3a= -a

b+ -3b= -2b

3c+ c= 4c

7 0

2 years ago