In how many ways can 5 person sit in acar,2 including the driver in the front seat and 3 in the back seat,if 2 particular persons do not know driving

Asked by Kunmunsahoo.2012 | 26th Feb, 2015, 11:10: PM

Expert Answer:

G i v e n space t h a t space o u t space o f space 5 space p e r s o n s comma space 2 space p e r s o n s space d o space n o t space k n o w space d r i v i n g. T h u s comma space o n l y space 3 space p e r s o n s space c a n space d r i v e space t h e space c a r. T h u s comma space t h e space n u m b e r space o f space w a y s space f o r space t h r e e space p e r s o n s space t o space d r i v e space t h e space c a r space i s space C presuperscript 3 subscript 1. A p a r t space f r o m space t h e space d r i v e r space 4 space p e r s o n s space c a n space s i t space i n space t h e space p a s s e n g e r space s e a t s. T h u s comma space t h e space n u m b e r space o f space w a y s space f o r space f o u r space p e r s o n s space t o space s i t space i n space p a s s e n g e r space s e a t s space i s space 4 factorial T h e r e f o r e comma space t h e space t o t a l space n u m b e r space o f space w a y s space i n space t h e space d e s i r e d space w a y equals 4 factorial cross times C presuperscript 3 subscript 1 equals 4 cross times 3 cross times 2 cross times 1 cross times 3 equals 72

Answered by Vimala Ramamurthy | 27th Feb, 2015, 08:58: AM