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Three horses H1, H2, H3 entered a field which has seven portions marked P1, P2, P3, P4, P5, P6 and P7. If no two horses are allowed to enter the same portion of the field, in how many ways can the horses graze the grass of the field?
195
205
185
210
The total number of ways in which the horses can graze the grass of the field = 210
Step-by-step explanation:
The horses who entered the field : h1 , h2 , h3 Number of horses who entered the field = 3 The given portions into which the horses are made to enter : p1 , p2 , p3 , p4 , p5 , p6 , p7 Total number of portions = 7 So, we need to find the number of ways in which the horses are made to enter the 7 portions given that no two horses can enter the same portion Now, h1 horse can graze the grass in 7 ways Also, h2 can graze the grass in 6 ways And, h3 can graze the grass in 5 ways. So, Total number of ways = 7 × 6 × 5 Hence, The total number of ways in which the horses can graze the grass of the field = 210
By: MIRZA SADDAM HUSSAIN ProfileResourcesReport error
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