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In a gated residential area there are 10 houses in the row. On a particular day community gardener plan to clean the garden of three houses. in how many
Ways can He/she plan such that no two of them or next to each other?
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Step-by-step explanation:
No. of ways of selecting 3 houses such that all 3 are consecutive is 8. And, number of ways in which exactly 2 houses are consecutive is (7*2 + 6* 7) = 56. So, the answer is 120 - 8 - 56 = 56. 10C1+8C1+6C1=24.
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