import java.io.*; import java.util.*; import java.util.stream.*; public class Main { static final int MOD = 1000000007; public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); int n = sc.nextInt(); int m = sc.nextInt(); int k = sc.nextInt(); int[] lefts = new int[m]; int[] rights = new int[m]; for (int i = 0; i < m; i++) { lefts[i] = sc.nextInt(); rights[i] = sc.nextInt(); } int[] current = new int[n + 2]; Arrays.fill(current, 1); current[0] = 0; while (k-- > 0) { int[] next = new int[n + 2]; for (int i = 0; i < m; i++) { int size = (current[rights[i]] - current[lefts[i] - 1] + MOD) % MOD; next[lefts[i]] += size; next[lefts[i]] %= MOD; next[rights[i] + 1] += MOD - size; next[rights[i] + 1] %= MOD; } for (int i = 1; i < next.length; i++) { next[i] += next[i - 1]; next[i] %= MOD; } for (int i = 1; i < next.length; i++) { next[i] += next[i - 1]; next[i] %= MOD; } current = next; } System.out.println((current[n] - current[n - 1] + MOD) % MOD); } } class Utilities { static String arrayToLineString(Object[] arr) { return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n")); } static String arrayToLineString(int[] arr) { return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new)); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); StringBuilder sb = new StringBuilder(); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public double nextDouble() throws Exception { return Double.parseDouble(next()); } public int[] nextIntArray() throws Exception { return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray(); } public String next() throws Exception { while (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }