Alphabets present in the word 'COLLEGE' are C, O, L, E, G
Alphabets in ascending order are
C, E, G, L, O
Number of words starts with
CE=‌Number of words starts with CG
=‌Number of words starts with
CL=‌Number of words starts with
COE=‌Number of words starts with COG
=‌Number of words starts with COLE
=3 !
Number of words starts with COLG
=‌Number of words starts with
COLLEE
=1!Next words in COLLEGE
∴ Required number of ways
‌=‌+‌+‌+‌+‌+3!+‌+1+1‌=60+30+60+12+6+6+3+2‌=179