The number of substrings that can be formed from string given by \(a \: d \: e…

Count the characters in the string: a, d, e, f, b, g, h, n, m, p — there are 10 characters.

Formula for non-empty substrings: For a string of length n, the number of non-empty substrings is n(n+1)/2. This comes from summing the number of substrings of each length: for length k there are (n−k+1) substrings, so sum k=1 to n of (n−k+1) = n(n+1)/2.

• Apply the formula with n = 10:

  10 × 11 / 2 = 55 non-empty substrings.

• If the empty substring is also counted, add 1:

  55 + 1 = 56 total substrings including the empty substring.

Conclusion: The number of non-empty substrings is 55. If the problem explicitly includes the empty substring, the total becomes 56. The provided answer of 56 assumes the empty substring is included; if the intended interpretation is non-empty substrings, the correct value is 55.