Question

6 boys and 4 girls are standing in a line. no. of permutations at which no girls stand together. ​

Answer 1

Answer:

There are 6 boys. Only one girl can be placed between two boys otherwise two girls will come together.

— Boy — Boy — Boy — Boy — Boy — Boy —

Here — denotes the place were a girl can be placed.

There are 7 places were a girl can occupy. So the number of ways for arranging four girls are 7P4=840.

The number of ways for arranging boys are 6!=720

So the number of ways can 6 boys and 4 girls be arranged in a row if no two girls are together are=840*720=604,800

Step-by-step explanation:

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