A casting director wishes to find one male and one female to cast is his play. If he plans to audition 5 males and 7 females, in how many different ways can this be done? DO NOT put a comma in your response.
Order is not important, so
5 ways to find a male, and 7 ways to find a female.
Using the rule of multiplication, the number of ways to find a male and a female actor is 7*5=35 ways.
Well, let's see. If the casting director wants to find one male and one female for the play, he would need to select one male from a pool of 5 males, and one female from a pool of 7 females. To find the total number of different ways this can be done, we multiply the number of choices for each gender. So, 5 males multiplied by 7 females equals 35 different ways. Hope that adds up for you!
To find the number of ways the casting director can select one male and one female from the given options, we can use the concept of combinations.
The number of ways to select one male from 5 options is denoted as "5C1" or "5 choose 1" and is equal to 5.
Similarly, the number of ways to select one female from 7 options is denoted as "7C1" or "7 choose 1" and is equal to 7.
To find the total number of ways to select one male and one female, we multiply these two values together:
5C1 * 7C1 = 5 * 7 = 35.
Hence, there are 35 different ways the casting director can find one male and one female for the play.
To find the number of different ways to cast one male and one female for the play, we can use the concept of combinations. A combination determines how many different groups can be formed from a larger set without considering the order.
The casting director has 5 males auditioning and needs to select one. Therefore, he can choose 1 male from a group of 5 in 5 different ways.
Similarly, the director has 7 females auditioning, and he needs to select one. Thus, he can choose 1 female from a group of 7 in 7 different ways.
To find the total number of ways, we multiply the number of options for the males (5) by the number of options for the females (7):
Total number of ways = 5 * 7 = 35
Therefore, there are 35 different ways the casting director can cast one male and one female for his play.