The number of binary strings of 17 zeros and 8 ones in which no two ones are adjacent is ___________(a) 43758(b) 24310(c) 32654(d) 29803This question was addressed to me by my college director while I was bunking the class.I need to ask this question from Counting topic in chapter Counting of Discrete Mathematics

The number of binary strings of 17 zeros and 8 ones in which no two on

1.	The number of binary strings of 17 zeros and 8 ones in which no two ones are adjacent is ___________(a) 43758(b) 24310(c) 32654(d) 29803This question was addressed to me by my college director while I was bunking the class.I need to ask this question from Counting topic in chapter Counting of Discrete Mathematics
Answer» Correct option is (a) 43758 Easiest EXPLANATION: First place 17 ZEROES side by side _ 0 _ 0 _ 0 … 0 _ and 8 1’s can be placed in any of the (17+1) AVAILABLE GAPS hence the number of ways= ^n+1Ck = 43758.

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