There are 12 ways he can pay this amount using the notes he has the answer is 12.
<h3>What are permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
Let x be the number of Rs10 notes and y be the Rs20 note
10x + 20y = 220
The whole number of x and y which satisfy the above equation:
x = 0, y =11
x = 2, y =10
x = 4, y =9
x = 6, y =8
x = 8, y =7
x = 10, y =6
x = 12, y =5
x = 14, y =4
x = 16, y =3
x = 18, y =2
x = 20, y =1
x = 22, y =0
Total number of ways = 12
Thus, there are 12 ways he can pay this amount using the notes he has the answer is 12.
Learn more about permutation and combination here:
brainly.com/question/2295036
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Answer:
3/7 =12/n
3n=7×12
3n=84
n=84÷3
n=28
3/7= t/21
3×21=7t
63=7t
t=63÷7
t=9
3/7 =k-1/2k+10
3(2k+10)=7(k-1)
6k+30=7k-7
k=37
Step-by-step explanation:
Step-by-step explanation:
(1-tanx)/(1+tanx) = (1-sin2x)/cos2x
Replace tanx with sinx/cosx:
(1-sinx/cosx)/(1+sinx/cosx)
Multiply numerator and denominator by cosx:
(cosx-sinx)/(cosx+sinx)
Multiply numerator and denominator by cosx-sinx:
(cos^2x-2sinxcosx+sin^2x)/(cos^2x-sin^2x)
For the numerator, since sin2x = 2sinxcosx, and sin^2x + cos^2x = 1, we have 1-sin2x
For the denominator, cos^2x - sin^2x = cos2x
So (1-tanx)/(1+tanx) = (1-sin2x)/cos2x