We count the number of such assignments where the maximum R position < the minimum L position.
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- So: \( \max(\text{R positions}) < \min(\text{L positions}) \)
- There are 5 positions: 1,2,3,4,5.
- We choose 2 for R’s, 2 for L’s, 1 for T.
- Let \( r_{\max} = \max(\text{R positions}) \), \( l_{\min} = \min(\text{L positions}) \). We require \( r_{\max} < l_{\min} \).
- Since positions are from 1 to 5, the possible values are limited.
- We can iterate over possible \( r_{\max} = m \) and \( l_{\min} = k \) with \( m < k \).
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