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Consider a,b,c,d,e,f,g,h to be eight dis...

Consider `a,b,c,d,e,f,g,h` to be eight distinct alphabets then the number of ways in which they can be dividied in 4- parts is

A

`1260` if exactly 2-parts are equal

B

`1701`in total

C

`280` if its divided intotwo paritions of 3 and two of 1

D

`210` if all parts are equal

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Total Ways `=.^(8)C_(3)+.^(8)C_(4)xx.^(4)C_(2)+.^(8)C_(2)xx(.^(6)C_(3))/2+.^(8)C_(3)xx.^(5)C_(1)xx(.^(4)C_(2))/2+(|__8)/((2)^(4)|__4)`
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