Question

In how many combinations, a cricketer can make a century with fours and sixes only?

Answer 1

The possible combinations are:

$(25\times 4)$,

$(22\times 4+2\times 6)$,

$(19\times 4+4\times 6)$,

$(16\times 4+6\times 6)$,

$(13\times 4+8\times 6)$,

$(10\times 4+10\times 6)$,

$(7\times 4+12\times 6)$,

$(4\times 4+14\times 6)$,

$(1\times 4+16\times 6)$

Hence there are total 9 combinations.