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in Permutations and Combinations by (47.9k points)
In how many ways 6 ‘+’ and 4 ‘-‘ sign can be kept in a line whereas any two ‘-‘ occur together?

1 Answer

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Best answer

First we put ‘+’ in a line. 

This can be done in 1 way because all ‘+’ are same.
+ + + + + +

Now we put ‘-‘ in the following way
– + – + – + – + – + – + –

Hence, the method of putting ‘-‘ sign in 4 out of 7 places = 7C1 × 1 because ‘-‘ signs are same.

Total number of ways 6 ‘+’ and 4 ‘-‘ sign occur together

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