combinatorics

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10 WORDS FROM THE O is CONSIDER COUNTING N- LETTER SET {A,B} io WhiCH THERE A LiMiT OF CONSEcutive A's AND 2 CONSECUTIVE Bys. THAT is, AA BBB is NOT ALLOWED. ALLOWED A F FILL FOLLOWing TABLE 4 5 anl bnl AUD is NOT in +HE 1 2 2 3 wn OF WHERE an is THE NUMBER OF 0-LETTER WORDS STARTING WITH A, bn is THE NUMBER OF n- LETTER WORDS Starting with B. AND Wn is THE TOTAL NUMBER n-LETTER WORDS, (6) EXPLAIN WHY an=boi for nza for nz3 AND bn=an-tana (C) using 6 SHOW THAT an= On-zt an-z AND bn = bna+bn-3 AND WE WA-2+ Wh3 for n? 4. DE TERMINE Wizo 10 WORDS FROM THE O is CONSIDER COUNTING N- LETTER SET {A,B} io WhiCH THERE A LiMiT OF CONSEcutive A's AND 2 CONSECUTIVE Bys. THAT is, AA BBB is NOT ALLOWED. ALLOWED A F FILL FOLLOWing TABLE 4 5 anl bnl AUD is NOT in +HE 1 2 2 3 wn OF WHERE an is THE NUMBER OF 0-LETTER WORDS STARTING WITH A, bn is THE NUMBER OF n- LETTER WORDS Starting with B. AND Wn is THE TOTAL NUMBER n-LETTER WORDS, (6) EXPLAIN WHY an=boi for nza for nz3 AND bn=an-tana (C) using 6 SHOW THAT an= On-zt an-z AND bn = bna+bn-3 AND WE WA-2+ Wh3 for n? 4. DE TERMINE Wizo