Question

four Indian and three American student have to stand in a
line for a photograph - If they choose their position at random
in how many of them 1.the two extreme position are occupied
by americans .......2.if the Indians are all adjacent..... 3..no two.
Americans are adjacent.​ plz plz I have assignment

Answer 1

1200 Ways when two extreme position are occupied by Americans by 4 Indians & 3 Americans

Step-by-step explanation:

4 Indians  3 Americans

Total = 7

1.the two extreme position are occupied by Americans

Two position can be selected in ⁵C₂  Ways  = 10

Remaining 5 positions can be selected in 5!  = 120Ways

Total Ways = 10*120 = 1200 Ways

2. if the Indians are all adjacent.

Lets take all Indians as 1   & 3 Americans

total 4  Can be selected in 4!  = 24 Ways

and 4 Indians can be selected in 4!  = 24 Ways

Total Ways = 24 * 24 = 576 Ways

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