Honestly, you probably don't need 10.
a .22 revolver for training, plinking, target shooting or varmits , either a S&W 63 or S&W 617 based on personnel preference. I like prelock. While I love my Colt woodsman and I respect the Ruger Standard model in it's various Marks, but semi autos can be ammo sensitive. Additionally, the lower quality rimfire ammo dosen't always go boom. The revovlers double action is a plus in dealing with that issue with the minimum of extra manipulations.
A K or L frame .357 revolver. It's the ulitmate general purpose handgun. You could load it with .38 spc target loads for target shooting, plinking, limited competition. A good .38+P or appropriate .357 load will function fine as a self defense round against unarmored two legged threats. A heavier .357 magnum round will give adequate protection against 4 legged threats and can be used for handgun hunting. Yes, you do sacrifice capacity, however, the relevance of capacity will vary based on your environment and mission. While a an L or K frame isn't the most concealable weapon, I've CCWed both in NY without issue (4" 686, 2" 64). Granted I used bulky cover garments and had to pick the right holster and belt combo, but I was never spotted or called out.
Alternatively, if capacity is required for your environment or mission I'd go for a double stack semi auto like a Glock 19, S&W M&P, SIG P320, etc. I am not as confident in 9mm against 4 legged threats and wouldn't hunt with one, but YMMV. Against humans, the 9mm has a known track record and I'm confident it can do the job. You could also go .45,.40 or .357 based on personal analysis.
So that's two so far. Lets look at long guns
a .22 long rifle. Bolt, semi or pump. It'll do targets or varmints and it's just plain fun.
A shotgun, pump or semi auto. 12 gauge can be used for defense, hunting, target shooting, trap and clays, etc. Yes, you might have to change barrels, loads and chokes, but that beats carrying multiple long guns. You again sacrifice capacity, but gain versatility. Also, you gain recoil along the energy and terminal ballistics.
If you are worried about capacity, a good AR is the way to go. You can gain some versatility with different uppers or calibers, but you might get some interesting looks if you try bird hunting with it. you could add a .22 upper and eliminate the separate .22 rifle.
A centerfire hunting rifle, bolt or Semi in an appropriate caliber for your area. It'll put meat in the fridge.