Note: this problem asks how many ways there are to live with points unconditionally. No ko, no seki.
(;AB[ip]AB[jp]AB[kp]AB[lq]AB[lr]AB[ls]AB[hq]AB[hr]AB[hs]AW[gs]AW[gr]AW[gq]AW[gp]AW[hp]AW[ho]AW[io]AW[jo]AW[ko]AW[lo]AW[lp]AW[mp]AW[mr]AW[ms]AW[mq]LB[gm:0]LB[hm:1]LB[im:2]LB[jm:3]LB[km:4]LB[lm:5]LB[mm:6]LB[in:7]LB[jn:8]LB[kn:9]C[How many different first moves can black play to live unconditionally with points? In other words, black to play and live, without seki, and no ko - how many possible moves are there?FORCE]AP[goproblems]
(;B[gm]C[No, black can live. K2 works.])
(;B[hm]C[K2 of course, right? But there's more. Navigate solutions for details])
(;B[im]C[There's more! Navigate solutions for details.])
(;B[jm];W[km]C[Correct! Now you can play around with variations of moves that work and don't work. In symmetrical situations, please play on the right.RIGHT]
(;B[jr]C[RIGHT])
(;B[jq]
(;W[jr]
(;B[js]
(;W[ir];B[kr]C[RIGHT])
(;W[kr];B[ir]C[RIGHT]))
(;B[kr];W[is]
(;B[js];W[ks]C[Ko])
(;B[iq];W[ks]C[Ko]))
(;B[ir]C[NOTTHIS]))
(;W[js];B[jr]C[RIGHT])
(;W[kr];B[jr]C[RIGHT])
(;W[ks];B[jr]C[RIGHT]))
(;B[js]
(;W[jr]
(;B[jq]
(;W[ir];B[kr]C[RIGHT])
(;W[kr];B[ir]C[RIGHT]))
(;B[kr];W[iq]
(;B[kq];W[is])
(;B[is];W[kq]))
(;B[ir]C[NOTTHIS])
(;B[kq];W[ir]
(;B[kr];W[iq])
(;B[is];W[iq])
(;B[iq];W[kr];B[jq]C[Seki]))
(;B[iq]C[NOTTHIS]))
(;W[kq]
(;B[jq]
(;W[kr];B[ks]C[RIGHT])
(;W[jr];B[kr]C[RIGHT]))
(;B[jr]C[RIGHT])
(;B[kr]C[RIGHT]))
(;W[jq];B[jr]C[RIGHT])
(;W[kr];B[jr]
(;W[jq];B[iq]C[RIGHT])
(;W[kq];B[ks]C[RIGHT])))
(;B[kq];W[jr]
(;B[ir];W[js];B[jq];W[is])
(;B[js];W[ir]
(;B[kr];W[iq])
(;B[is];W[iq])
(;B[iq];W[kr];B[jq]C[Seki]))
(;B[jq];W[is])
(;B[iq];W[js]))
(;B[kr];W[jr]
(;B[jq];W[is]
(;B[js];W[ks]C[Ko])
(;B[iq];W[ks]C[Ko]))
(;B[ir];W[js];B[jq]C[Seki])
(;B[js];W[iq]
(;B[kq];W[is])
(;B[is];W[kq]))
(;B[iq];W[js];B[jq];W[ks]))
(;B[ks];W[jr]
(;B[ir];W[js]
(;B[jq];W[kq])
(;B[kq];W[jq]))
(;B[jq];W[js]
(;B[kq];W[ir])
(;B[ir];W[kq]))
(;B[js];W[iq])
(;B[kr];W[js];B[kq];W[iq])
(;B[kq];W[iq];B[js];W[is]))
(;B[iq]C[NOTTHIS])
(;B[ir]C[NOTTHIS])
(;B[is]C[NOTTHIS]))
(;B[km]C[Nope. Too many. Navigate solution for details.])
(;B[lm]C[Nope. Too many. Navigate solution for details.])
(;B[mm]C[Nope. Too many. Navigate solution for details.])
(;B[in]C[Nope. Too many. Navigate solution for details.])
(;B[jn]C[Nope. Too many. Navigate solution for details.])
(;B[kn]C[Did you read out the variations first? Navigate solutions for details.]))