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There are 6 steps in a flight of stairs (not counting the top and the bottom) when going down, you can jump over some steps, perhaps even all 6. How many ways are there to go down the stairs. Please explain it in detail and include all steps this one is a prmo question

There are 6 steps in a flight of stairs (not counting the top and the bottom) when going down, you can jump over some steps, perhaps even all 6. How many ways are there to go down the stairs.
 
Please explain it in detail and include all steps this one is a prmo question

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
Dear student

0<= a,b,c,d,e,f<=6
also a,b,c,d,e,f€ whole number

now for 1 step
1 way only

for 2 steps
1+5,2+4,3+3

for 3 steps
1+1+4, 1+2+3, 2+2+2

for 4 steps
1+1+1+3, 1+1+2+2,

for 5 step
1+1+1+1+2

for 6 steps
1+1+1+1+1+1

Regards

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