Sure, here is the step by step solution:

Step 1: Treat all the boys as a single entity. So, we have 6 entities in total (5 girls + 1 group of boys).

Step 2: These 6 entities can be arranged in 6! ways.

Step 3: But within the group of boys, they can arrange themselves in 4! ways.

Step 4: Therefore, the total number of permutations in which all the boys are together is 6! * 4! = 720 * 24 = 17280.

Question

Sure, here is the step by step solution:

Step 1: Treat all the boys as a single entity. So, we have 6 entities in total (5 girls + 1 group of boys).

Step 2: These 6 entities can be arranged in 6! ways.

Step 3: But within the group of boys, they can arrange themselves in 4! ways.

Step 4: Therefore, the total number of permutations in which all the boys are together is 6! * 4! = 720 * 24 = 17280.

Knowee AI · Accepted Answer

Sure, here is the step by step solution:

Step 1: Treat all the boys as a single entity. So, we have 6 entities in total (5 girls + 1 group of boys).

Step 2: These 6 entities can be arranged in 6! ways.

Step 3: But within the group of boys, they can arrange themselves in 4! ways.

Step 4: Therefore, the total number of permutations in which all the boys are together is 6! * 4! = 720 * 24 = 17280.

4 boys and 5 girls are to form a line. Find the number of permutations in which all the boys are together