Question

3.
A boy is playing a Snake & Ladder game; he is on 91 and has to get to 100 to complete
the game. There is a snake on 93 and 96. In how many ways he can complete the
game, if he doesn't want to roll the dice more than three times.
D. 18
E. 19
C. 16
B. 15​

Answer 1

Answer:

Number of ways of seating remaining = 3! Hence, option D is correct. A boy is playing a Snake & Ladder game; he is on 91 and has to get to 100 to complete the game. There is a snake on 93 and 96.

Answer 2

» Explain it

Correct Option: C

91  --92 —  93 — 94 — 95 — 96 — 97 — 98 — 99 — 100

 

Total position advance needed = 100 – 91 = 9

 

One roll of dice can’t complete the game.

 

If he completes in two roll of dice.

 

Possible dice throws are – (3&6), (4&5), (5&4), (6&3)

 

But (5&4) will bring the token on 96, so this is rejected. 

 

If he completes the game in three roll of dices

 

First dice reading options are 1,3,4,6

 

After checking all option and rejecting those in which token reaches on 93 or 96

 

Possible dice throws  are (1,2,6), (1,3,5),(1,5,3), (1,6,2) ; 

 

                                        (3,1,5),(3,3,3),(3,4,2),(3,5,1);

 

                                        (4,2,3),(4,3,2),(4,4,1)

                                         (6, 1, 2), (6, 2, 1)

 

Total number of ways = 16

Hence, option C is correct.