import sys
input = sys.stdin.readline

N,M,K=map(int,input().split())
mod=1000000007

FACT=[1]
for i in range(1,2*10**5+1):
    FACT.append(FACT[-1]*i%mod)

FACT_INV=[pow(FACT[-1],mod-2,mod)]
for i in range(2*10**5,0,-1):
    FACT_INV.append(FACT_INV[-1]*i%mod)

FACT_INV.reverse()

def Combi(a,b):
    if 0<=b<=a:
        return FACT[a]*FACT_INV[b]*FACT_INV[a-b]%mod
    else:
        return 0

ANS=0

for group in range(1,min(N,M)+1):
    if N+M-group*2<K:
        break
    score=Combi(N-1,group-1)*Combi(M-1,group-1)*FACT[N]*FACT[M]*pow(group,mod-2,mod)%mod

    #print(score)

    ANS+=score
    ANS%=mod

print(ANS%mod)