IGNOU BMTC 103 2026 - Compute the Bell numbers B6 and B7.

Question

Compute the Bell numbers B₆ and B₇.

20 Jan 2026

Answer :

Word Count : 205

The Bell numbers (B_n) count the number of ways to partition a set of (n) elements. They can be computed using the recurrence relation: [ B_{n+1} = \sum_{k=0}^{n} \binom{n}{k} B_k ] with (B_0 = 1). First, list the known Bell numbers: [ B_0 = 1, \quad B_1 = 1, \quad B_2 = 2, \quad B_3 = 5, \quad B_4 = 15, \quad B_5 = 52 ] Compute (B_6):

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