There are 15 trees in a row. 4 trees are to be cut down. The number of ways that no two of the cut down trees are consecutive is

^{11} C_{4}

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^{12} C_{4}

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^{15} C_{4}

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^{14} C_{4}

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Solution

The correct option is C $^{12} C_{4}$
we have 15 trees not to be cut in alternate order
here we have
$n = 15, r = 4;^{(n - r + 1)} C_{r} =^{12} C_{4}$

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There are 15 trees in a row. 4 trees are to be cut down. The number of ways that no two of the cut down trees are consecutive is

The correct option is C 12C4we have 15 trees not to be cut in alternate order here we have n=15,r=4;(n−r+1)Cr=12C4

The correct option is C $^{12} C_{4}$
we have 15 trees not to be cut in alternate order
here we have
$n = 15, r = 4;^{(n - r + 1)} C_{r} =^{12} C_{4}$