Question
In how many ways Barcelona’s football team captain
and vice-captain be elected from a team of 15 men?Solution
To do this, if captain is selected first, then we have 15 ways of doing this. For election of vice-captain, we have 14 ways left, because 1 way is already consumed. So, the required answer = 14 × 15 = 210
3,   2,   3,  8,  31,  ?
56. 23Â Â Â Â Â 45Â Â Â Â Â 89Â Â Â Â Â 177Â Â Â Â Â 363Â Â Â Â Â 705
...22Â Â Â Â Â Â Â Â Â Â 62Â Â Â Â Â Â Â Â Â Â 178Â Â Â Â Â Â Â Â 522Â Â Â Â Â Â Â Â 1550Â Â Â Â Â Â ?
...77 ? 190 257 331 412
...2, 12, 90, 240, ?, 1260
41 48 89 137 226 ?
...43 36 50 29 ? 22
...5 14 56 220 1125 6786
...7 29 ? 129 211 349
19 8 ? -14 63 - 36
...