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In a class consisting of 5 girls and 6 boys, they are to be seated on 11 chairs in a row in such a way that all the boys always sit together. In how many different ways can this be done?1). 4320002). 4800003). 5280004). 518400 |
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Answer» Consider the 6 BOYS as one single unit The total number of people will be 5 (girls) + 1 (All boys considered as one unit) = 6 These 6 people can be ARRANGED in 6! WAYS = 720 ways The 6 boys among themselves can be arranged in 6! ways = 720 ways ∴ Total number of ways this can be done = 720 × 720 = 518400 ways |
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