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### Combinatorics

Posted: Tue Mar 27, 2018 6:10 pm
In how many ways can COMPUTER be spelled by moving either down or diagonally to the right showed in the figure below??

### Re: Combinatorics

Posted: Fri Oct 19, 2018 1:49 am

### Re: Combinatorics

Posted: Mon Dec 17, 2018 5:47 pm
HOW??????????????????????

### Re: Combinatorics

Posted: Mon Dec 17, 2018 5:49 pm
HOW??????????????????????

### Re: Combinatorics

Posted: Thu Jan 10, 2019 9:45 am
Count carefully acclrding the question.

### Re: Combinatorics

Posted: Mon Jan 14, 2019 6:19 pm
I still can't understand.

### Re: Combinatorics

Posted: Wed Jan 16, 2019 8:42 pm
If repeated letters distract you, replace these in the following way, because the question basically asks you to choose and count properly:

A
B C
D E F
G H I J

From A, you have 2 choices: AB and AC (one down and the other right-down diagonally).
From each of AB and AC, you have also 2 choices: ABD, ABE and ACE, ACF. Total count up to the third row is, therefore, 4 or (2 × 2)
From each of ABD, ABE, ACE, and ACF, you have also 2 choices.

Can you see a pattern now and complete?