In a party, there are 10 married couples. Each person shakes hands with every person other than her or his spouse. The total number of handshakes exchanged in that party is

160

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190

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180

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170

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Solution

The correct option is C 180
There are 20 persons in the party.
Total handshakes = ${20_{C}}_{2} = 190$
This includes 10 handshakes in which a person shakes hands with her or his spouse.
Therefore, required number of handshakes= $190 - 10 = 180$ .

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In a party, there are 10 married couples. Each person shakes hands with every person other than her or his spouse. The total number of handshakes exchanged in that party is

The correct option is C 180There are 20 persons in the party.Total handshakes = 20C2=190This includes 10 handshakes in which a person shakes hands with her or his spouse.Therefore, required number of handshakes= 190−10=180.

The correct option is C 180
There are 20 persons in the party.
Total handshakes = ${20_{C}}_{2} = 190$
This includes 10 handshakes in which a person shakes hands with her or his spouse.
Therefore, required number of handshakes= $190 - 10 = 180$ .