1) How many 11-bit binary strings start with at least 8 0s or end with at least 6 1s?

2) How many 11-bit binary strings contain at most one 0 or at most one 1?

3) How many 14-bit binary strings contain exactly 8 0s or exactly 6 1s?

4) How many 15-bit binary strings start with at least 5 0s or end with at least 6 0s?

5) How many 14-bit binary strings contain exactly 5 0s or exactly 7 1s?

6) How many 12-bit binary strings start with at least 6 0s or end with at least 8 0s?

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please help describle the answer

1 nik 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 15 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 46 41 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 10 5 1 0 0 0 0 0 0 0 0 0 0 0 1 6 15 2015 6 1 0 0 0 0 0 0 0 0 0 0 1 7 21 35 35 21 7 1 0 0 0 0 0 0 0 0 0 8 28 56 70 56 28 | 8 1 0 0 0 0 0 0 0 0 19 | 84 126 126 4, 36 9 1 0 0 0 0 0 0 0 1 10 45 120 210 252 210 120 45 10 1 0 0 0 0 0 0 | 1 55 | | 165 330 462 462 330 165 55 | || 10 0 0 0 0 0 12 66 220 495 792 924 792 495 220 66 2 1 0 0 0 0 | 13 78 266715 1267 1716 1716 1287 715 266 78 13 0 0 0 | 141 14 911 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1 0 0 15 1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 10 0 1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 1820 560 120 16 1 1 17 136 | 680 2360 6188 12376 1948 24310 24310 1948 12376 6168 2360 660 136 7 | 816 3060 8568 1856431824 43758 48620 43758 31624 18564 8568 3060 816 153 17 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 18 1 | 36 1