The number of ways in which a batsman can scored 14 runs in 6 balls not scoring more than 4 runs in any ball

score on 4 balls:{004442,004433}

score on 5 balls

:{ 011444,0124443,013442,014333,023333,024224,024332,0034331,034421,044222,044321 }

similarly count for score on all 6 balls, then add permutation of each case, this will give the total number of ways of scoring 14 runs on 6 balls.