(Q). In how many ways 30 identical chocolates be distributed among 5 students such that each student receive at least 1 chocolate ?
Sol:- identical chocolate ━ distinct group
(Q). In how many ways 30 identical chocolates be distributed among 5 students such that each student receive at least 2 chocolates ?
Sol:- identical object ━ distinct group
(Q). In how many ways 30 identical chocolates be distributed among 5 students ?
Sol:- identical object ━ distinct group
Number of ways = 5³⁰ Answer
(Q). Ankit has 15 friends to invite, in how many ways can he send invitation cards to them if there are three different courier services available ?
Sol:-
1ˢᵗ friend can be invited in 3 ways
2ⁿᵈ friend can be invited in 3 ways
Similarly,
.
.
.
.
.
.
15ᵗʰ friend can be invited in 3 ways
Hence total number of ways to invite = 3×3×3×………..15 times
= 3¹⁵ Answer
(Q). In how many ways 50 bananas can be distributed to 5 students ?
Sol:- identical objects ━ distinct groups
(Q). In how many ways 50 bananas can be distributedd to 5 students such that each of them receive at least 5 bananas ?
Sol:- identical object ━ distinct group