#include<stdio.h>
#include<stdlib.h>
#include<stdint.h>
#include<inttypes.h>

typedef int32_t i32;
typedef int64_t i64;

#define ALLOC(size,type) ((type*)calloc((size),sizeof(type)))

void run (void) {
  i32 n, m, k;
  scanf ("%" SCNi32 "%" SCNi32 "%" SCNi32, &n, &m, &k);
  i32 *l = ALLOC (m, i32);
  i32 *r = ALLOC (m, i32);
  for (i32 i = 0; i < m; ++i) {
    scanf ("%" SCNi32 "%" SCNi32, l + i, r + i);
    l[i]--;
  }
  const i32 mod = 1000000007;
  i64 *dp = ALLOC (n + 1, i64);
  i64 *sum = ALLOC (n + 1, i64);
  dp[0] = 1;
  while (k--) {
    for (i32 i = n - 1; i >= 0; --i) {
      sum[i] = sum[i + 1] + dp[i];
      dp[i] = 0;
    }
    for (i32 i = 0; i < m; ++i) {
      i32 v = (sum[l[i]] - sum[r[i]]) % mod;
      dp[l[i]] += v;
      dp[r[i]] += mod - v;
    }
    dp[0] %= mod;
    for (i32 i = 1; i <= n; ++i) {
      dp[i] = (dp[i] + dp[i - 1]) % mod;
    }
  }
  printf ("%" PRIi64 "\n", dp[n - 1]);
}

int main (void) {
  run();
  return 0;
}