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The number of different ways in which five "alike dashes" and eight "alike dots" can be arranged using only seven of these ''dashes" and "dots" is

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120

none of these

350

1287

answer is B.

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Detailed Solution

Dashes	Dots	Arrangements
5	2	$^{7} C_{2}$
4	3	$^{7} C_{3}$
3	4	$^{7} C_{4}$
2	5	$^{7} C_{5}$
1	6	$^{7} C_{6}$
0	7	$^{7} C_{7}$

The total number of ways is $^{7} C_{2} +^{7} C_{3} +^{7} C_{4} +^{7} C_{5} +^{7} C_{6} +^{7} C_{7} = 2^{7} - 8 = 120$

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