In a group of six women,there are four dancer | vedclass

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(C) Let the six women be $G, V, J, S, T, P$. Total counts: $4$ Dancers,$4$ Vocalists,$1$ Actress,$3$ Violinists. Given: $1$. Violinists: $G, V$ are vi

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(C) Let the six women be $G, V, J, S, T, P$. Total counts: $4$ Dancers,$4$ Vocalists,$1$ Actress,$3$ Violinists. Given: $1$. Violinists: $G, V$ are violinists. Since there are $3$ violinists,let the third be $X$. $J$ and $S$ are not violinists. $2$. Dancers: $S, T$ are dancers. $3$. Vocalists: $J, V, S, T$ are vocalists. $4$. Actress: $P$ is the actress. Since there are $6$ women and $P$ is the actress,the remaining $5$ must be dancers,vocalists,or violinists. From the list of vocalists $(J, V, S, T)$,two are also violinists. We know $V$ is a violinist. $J$ and $S$ are not. Thus,$T$ must be the second violinist among the vocalists. Now,we have violinists: $G, V, T$. We need to find who is both a dancer and a violinist. We know $T$ is a dancer (given) and $T$ is a violinist (derived). Therefore,$T$ is both a dancer and a violinist.

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