exam Maths Puzzle

In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?

A.

172000

B.

12600

C.

45920

D.

43200

Read Solution (Total 1)

capacity of each row is 5 .total people -10
four people wish to sit facing forward -5P4
three people wish to sit facing forward -5P3
three people can sit in remaining 3 seats -3P3
5P4*5P3*3P3=120*60*6=43200
option D
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exam Other Question

Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.

A.

60000

B.

65000

C.

70000

D.

75000 A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?

A.

105

B.

168

C.

189

D.

120