the total number of ways in which six + and four - signs can be arranged in a line such that no two - signs occur together is
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Answer:
Six '+' signs can be arranged in a row in
6!6!
= 1 way
Now, we are left with seven places in which four different things can be arranged in 7P4ways.
Since all the four '- ' signs are identical, four '- ' signs can be arranged in
7P44!
ways, i.e. 35 ways.
Number of ways = 1
×
35 = 35
Step-by-step explanation:
Six '+' signs can be arranged in a row in
6!6!
= 1 way
Now, we are left with seven places in which four different things can be arranged in 7P4ways.
Since all the four '- ' signs are identical, four '- ' signs can be arranged in
7P44!
ways, i.e. 35 ways.
Number of ways = 1
×
35 = 35
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