Question

In how many ways we can arange the dining table 3 sweets and 4 fruits owl in a line? M4 maths

Answer 1

when we apply permutations formula, it'll be 24 ways

Answer 2

→ 3 sweets of one kind can be arranged in one way.

→3 sweet of different kind can be arranged in 3! way=6.

→ 4 fruits owl of same kind  can be arranged in one way.

→ 4 fruits owl  of different can be arranged in = 4!=24 ways

So, 3 sweets of different kind and 4 fruits owl of different kind can be arranged in a line by the following way

        → 3! × 4! +4!×3!= 2×3!×4!= 2×6×24=288 ways

Or, 3 sweets of same kind and 4 fruits owl of same kind can be arranged in a line by the following way= S F + F S= 2 ways , S=sweet, F= Fruit