# GATE Mechanical 2017 Set 2 | GA Question: 8

There are $4$ women $P, Q, R, S$ and $5$ men $V, W, X, Y, Z$ in a group. We are required to form pairs each consisting of one woman and one man. $P$ is not to be paired with $Z$, and $Y$ must necessarily be paired with someone. In how many ways can $4$ such pairs be formed?

1. $74$
2. $76$
3. $78$
4. $80$

recategorized

## Related questions

In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature $10^{\circ} C$) and a month in summer (average temperature $30^{\circ} C$). Consider the following statements based on ... days in the winter month. Which one of the following options is correct? Only i Only ii Both i and ii Neither i nor ii
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
A couple has $2$ children. The probability that both children are boys if the older one is a boy is $1/4$ $1/3$ $1/2$ $1$
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to complete the league round of matches? $20$ $10$ $8$ $5$